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Finding the Fourth Proportional to 564.31, 848.40 and 456.85

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Solution

The fourth proportional to 564.31, 848.40 and 456.85 is: 686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 848.40 = 456.85 : x
  2. Step 2: Convert to fraction form
    564.31/848.40 = 456.85/x
  3. Step 3: Cross multiply
    564.31x = 848.40 × 456.85
  4. Step 4: Simplify right side
    564.31x = 387,591.54
  5. Step 5: Solve for x
    x = 387,591.54/564.31
  6. Step 6: Final answer
    x = 686.84

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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.