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Finding the Fourth Proportional to 917.31, 1,265.84 and 524.34

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Solution

The fourth proportional to 917.31, 1,265.84 and 524.34 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.31 : 1,265.84 = 524.34 : x
  2. Step 2: Convert to fraction form
    917.31/1,265.84 = 524.34/x
  3. Step 3: Cross multiply
    917.31x = 1,265.84 × 524.34
  4. Step 4: Simplify right side
    917.31x = 663,729.89
  5. Step 5: Solve for x
    x = 663,729.89/917.31
  6. Step 6: Final answer
    x = 723.56

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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.