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Finding the Fourth Proportional to 611.59, 912.94 and 566.53

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Solution

The fourth proportional to 611.59, 912.94 and 566.53 is: 845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.59 : 912.94 = 566.53 : x
  2. Step 2: Convert to fraction form
    611.59/912.94 = 566.53/x
  3. Step 3: Cross multiply
    611.59x = 912.94 × 566.53
  4. Step 4: Simplify right side
    611.59x = 517,209.75
  5. Step 5: Solve for x
    x = 517,209.75/611.59
  6. Step 6: Final answer
    x = 845.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.