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Finding the Fourth Proportional to 564.44, 842.03 and 557.15

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Solution

The fourth proportional to 564.44, 842.03 and 557.15 is: 831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 842.03 = 557.15 : x
  2. Step 2: Convert to fraction form
    564.44/842.03 = 557.15/x
  3. Step 3: Cross multiply
    564.44x = 842.03 × 557.15
  4. Step 4: Simplify right side
    564.44x = 469,132.11
  5. Step 5: Solve for x
    x = 469,132.11/564.44
  6. Step 6: Final answer
    x = 831.15

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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.