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Finding the Fourth Proportional to 564.99, 780.32 and 557.31

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Solution

The fourth proportional to 564.99, 780.32 and 557.31 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.99 : 780.32 = 557.31 : x
  2. Step 2: Convert to fraction form
    564.99/780.32 = 557.31/x
  3. Step 3: Cross multiply
    564.99x = 780.32 × 557.31
  4. Step 4: Simplify right side
    564.99x = 434,877.35
  5. Step 5: Solve for x
    x = 434,877.35/564.99
  6. Step 6: Final answer
    x = 769.71

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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.