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Finding the Fourth Proportional to 652.76, 900.34 and 431.88

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Solution

The fourth proportional to 652.76, 900.34 and 431.88 is: 595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.76 : 900.34 = 431.88 : x
  2. Step 2: Convert to fraction form
    652.76/900.34 = 431.88/x
  3. Step 3: Cross multiply
    652.76x = 900.34 × 431.88
  4. Step 4: Simplify right side
    652.76x = 388,838.84
  5. Step 5: Solve for x
    x = 388,838.84/652.76
  6. Step 6: Final answer
    x = 595.68

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Find fourth proportional to 326.38, 450.17 and 215.94
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Double scale
Find fourth proportional to 653.76, 901.72 and 432.88
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.