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Finding the Fourth Proportional to 663.66, 916.31 and 402.14

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Solution

The fourth proportional to 663.66, 916.31 and 402.14 is: 555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 916.31 = 402.14 : x
  2. Step 2: Convert to fraction form
    663.66/916.31 = 402.14/x
  3. Step 3: Cross multiply
    663.66x = 916.31 × 402.14
  4. Step 4: Simplify right side
    663.66x = 368,484.90
  5. Step 5: Solve for x
    x = 368,484.90/663.66
  6. Step 6: Final answer
    x = 555.23

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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.