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Finding the Fourth Proportional to 614.46, 847.87 and 509.16

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Solution

The fourth proportional to 614.46, 847.87 and 509.16 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.46 : 847.87 = 509.16 : x
  2. Step 2: Convert to fraction form
    614.46/847.87 = 509.16/x
  3. Step 3: Cross multiply
    614.46x = 847.87 × 509.16
  4. Step 4: Simplify right side
    614.46x = 431,701.49
  5. Step 5: Solve for x
    x = 431,701.49/614.46
  6. Step 6: Final answer
    x = 702.57

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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.