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Finding the Fourth Proportional to 610.61, 914.54 and 437.47

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Solution

The fourth proportional to 610.61, 914.54 and 437.47 is: 655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.61 : 914.54 = 437.47 : x
  2. Step 2: Convert to fraction form
    610.61/914.54 = 437.47/x
  3. Step 3: Cross multiply
    610.61x = 914.54 × 437.47
  4. Step 4: Simplify right side
    610.61x = 400,079.34
  5. Step 5: Solve for x
    x = 400,079.34/610.61
  6. Step 6: Final answer
    x = 655.22

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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.