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Finding the Fourth Proportional to 566.15, 845.49 and 456.62

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Solution

The fourth proportional to 566.15, 845.49 and 456.62 is: 681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.15 : 845.49 = 456.62 : x
  2. Step 2: Convert to fraction form
    566.15/845.49 = 456.62/x
  3. Step 3: Cross multiply
    566.15x = 845.49 × 456.62
  4. Step 4: Simplify right side
    566.15x = 386,063.42
  5. Step 5: Solve for x
    x = 386,063.42/566.15
  6. Step 6: Final answer
    x = 681.92

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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.