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Finding the Fourth Proportional to 613.53, 914.48 and 566.72

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Solution

The fourth proportional to 613.53, 914.48 and 566.72 is: 844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 914.48 = 566.72 : x
  2. Step 2: Convert to fraction form
    613.53/914.48 = 566.72/x
  3. Step 3: Cross multiply
    613.53x = 914.48 × 566.72
  4. Step 4: Simplify right side
    613.53x = 518,246.70
  5. Step 5: Solve for x
    x = 518,246.70/613.53
  6. Step 6: Final answer
    x = 844.70

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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.