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Finding the Fourth Proportional to 663.47, 915.76 and 383.87

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Solution

The fourth proportional to 663.47, 915.76 and 383.87 is: 529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.47 : 915.76 = 383.87 : x
  2. Step 2: Convert to fraction form
    663.47/915.76 = 383.87/x
  3. Step 3: Cross multiply
    663.47x = 915.76 × 383.87
  4. Step 4: Simplify right side
    663.47x = 351,532.79
  5. Step 5: Solve for x
    x = 351,532.79/663.47
  6. Step 6: Final answer
    x = 529.84

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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.