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Finding the Fourth Proportional to 613.46, 918.14 and 562.88

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Solution

The fourth proportional to 613.46, 918.14 and 562.88 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.46 : 918.14 = 562.88 : x
  2. Step 2: Convert to fraction form
    613.46/918.14 = 562.88/x
  3. Step 3: Cross multiply
    613.46x = 918.14 × 562.88
  4. Step 4: Simplify right side
    613.46x = 516,802.12
  5. Step 5: Solve for x
    x = 516,802.12/613.46
  6. Step 6: Final answer
    x = 842.43

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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.