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Finding the Fourth Proportional to 564.62, 780.24 and 407.76

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Solution

The fourth proportional to 564.62, 780.24 and 407.76 is: 563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 780.24 = 407.76 : x
  2. Step 2: Convert to fraction form
    564.62/780.24 = 407.76/x
  3. Step 3: Cross multiply
    564.62x = 780.24 × 407.76
  4. Step 4: Simplify right side
    564.62x = 318,150.66
  5. Step 5: Solve for x
    x = 318,150.66/564.62
  6. Step 6: Final answer
    x = 563.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.