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Finding the Fourth Proportional to 663.90, 916.16 and 415.31

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Solution

The fourth proportional to 663.90, 916.16 and 415.31 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.90 : 916.16 = 415.31 : x
  2. Step 2: Convert to fraction form
    663.90/916.16 = 415.31/x
  3. Step 3: Cross multiply
    663.90x = 916.16 × 415.31
  4. Step 4: Simplify right side
    663.90x = 380,483.75
  5. Step 5: Solve for x
    x = 380,483.75/663.90
  6. Step 6: Final answer
    x = 573.10

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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.