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Finding the Fourth Proportional to 614.32, 847.27 and 404.53

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Solution

The fourth proportional to 614.32, 847.27 and 404.53 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.32 : 847.27 = 404.53 : x
  2. Step 2: Convert to fraction form
    614.32/847.27 = 404.53/x
  3. Step 3: Cross multiply
    614.32x = 847.27 × 404.53
  4. Step 4: Simplify right side
    614.32x = 342,746.13
  5. Step 5: Solve for x
    x = 342,746.13/614.32
  6. Step 6: Final answer
    x = 557.93

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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.