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Finding the Fourth Proportional to 663.30, 915.12 and 427.46

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Solution

The fourth proportional to 663.30, 915.12 and 427.46 is: 589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.30 : 915.12 = 427.46 : x
  2. Step 2: Convert to fraction form
    663.30/915.12 = 427.46/x
  3. Step 3: Cross multiply
    663.30x = 915.12 × 427.46
  4. Step 4: Simplify right side
    663.30x = 391,177.20
  5. Step 5: Solve for x
    x = 391,177.20/663.30
  6. Step 6: Final answer
    x = 589.74

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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.