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Finding the Fourth Proportional to 917.31, 1,373.85 and 711.21

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Solution

The fourth proportional to 917.31, 1,373.85 and 711.21 is: 1,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.31 : 1,373.85 = 711.21 : x
  2. Step 2: Convert to fraction form
    917.31/1,373.85 = 711.21/x
  3. Step 3: Cross multiply
    917.31x = 1,373.85 × 711.21
  4. Step 4: Simplify right side
    917.31x = 977,095.86
  5. Step 5: Solve for x
    x = 977,095.86/917.31
  6. Step 6: Final answer
    x = 1,065.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.