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Finding the Fourth Proportional to 663.20, 915.12 and 507.68

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Solution

The fourth proportional to 663.20, 915.12 and 507.68 is: 700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.20 : 915.12 = 507.68 : x
  2. Step 2: Convert to fraction form
    663.20/915.12 = 507.68/x
  3. Step 3: Cross multiply
    663.20x = 915.12 × 507.68
  4. Step 4: Simplify right side
    663.20x = 464,588.12
  5. Step 5: Solve for x
    x = 464,588.12/663.20
  6. Step 6: Final answer
    x = 700.52

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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.