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Finding the Fourth Proportional to 561.61, 840.57 and 542.17

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Solution

The fourth proportional to 561.61, 840.57 and 542.17 is: 811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.61 : 840.57 = 542.17 : x
  2. Step 2: Convert to fraction form
    561.61/840.57 = 542.17/x
  3. Step 3: Cross multiply
    561.61x = 840.57 × 542.17
  4. Step 4: Simplify right side
    561.61x = 455,731.84
  5. Step 5: Solve for x
    x = 455,731.84/561.61
  6. Step 6: Final answer
    x = 811.47

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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.