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Finding the Fourth Proportional to 652.76, 900.16 and 431.78

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Solution

The fourth proportional to 652.76, 900.16 and 431.78 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.76 : 900.16 = 431.78 : x
  2. Step 2: Convert to fraction form
    652.76/900.16 = 431.78/x
  3. Step 3: Cross multiply
    652.76x = 900.16 × 431.78
  4. Step 4: Simplify right side
    652.76x = 388,673.00
  5. Step 5: Solve for x
    x = 388,673.00/652.76
  6. Step 6: Final answer
    x = 595.43

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Find fourth proportional to 326.38, 450.08 and 215.89
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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.