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Finding the Fourth Proportional to 512.76, 707.61 and 302.94

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Solution

The fourth proportional to 512.76, 707.61 and 302.94 is: 418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 707.61 = 302.94 : x
  2. Step 2: Convert to fraction form
    512.76/707.61 = 302.94/x
  3. Step 3: Cross multiply
    512.76x = 707.61 × 302.94
  4. Step 4: Simplify right side
    512.76x = 214,363.37
  5. Step 5: Solve for x
    x = 214,363.37/512.76
  6. Step 6: Final answer
    x = 418.06

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Find fourth proportional to 256.38, 353.81 and 151.47
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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.