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Finding the Fourth Proportional to 610.28, 916.86 and 562.76

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Solution

The fourth proportional to 610.28, 916.86 and 562.76 is: 845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.28 : 916.86 = 562.76 : x
  2. Step 2: Convert to fraction form
    610.28/916.86 = 562.76/x
  3. Step 3: Cross multiply
    610.28x = 916.86 × 562.76
  4. Step 4: Simplify right side
    610.28x = 515,972.13
  5. Step 5: Solve for x
    x = 515,972.13/610.28
  6. Step 6: Final answer
    x = 845.47

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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.