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Finding the Fourth Proportional to 564.54, 840.12 and 542.68

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Solution

The fourth proportional to 564.54, 840.12 and 542.68 is: 807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 840.12 = 542.68 : x
  2. Step 2: Convert to fraction form
    564.54/840.12 = 542.68/x
  3. Step 3: Cross multiply
    564.54x = 840.12 × 542.68
  4. Step 4: Simplify right side
    564.54x = 455,916.32
  5. Step 5: Solve for x
    x = 455,916.32/564.54
  6. Step 6: Final answer
    x = 807.59

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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.