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Finding the Fourth Proportional to 566.52, 845.28 and 497.27

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Solution

The fourth proportional to 566.52, 845.28 and 497.27 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.52 : 845.28 = 497.27 : x
  2. Step 2: Convert to fraction form
    566.52/845.28 = 497.27/x
  3. Step 3: Cross multiply
    566.52x = 845.28 × 497.27
  4. Step 4: Simplify right side
    566.52x = 420,332.39
  5. Step 5: Solve for x
    x = 420,332.39/566.52
  6. Step 6: Final answer
    x = 741.96

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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.