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Finding the Fourth Proportional to 560.66, 842.19 and 542.21

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Solution

The fourth proportional to 560.66, 842.19 and 542.21 is: 814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.66 : 842.19 = 542.21 : x
  2. Step 2: Convert to fraction form
    560.66/842.19 = 542.21/x
  3. Step 3: Cross multiply
    560.66x = 842.19 × 542.21
  4. Step 4: Simplify right side
    560.66x = 456,639.63
  5. Step 5: Solve for x
    x = 456,639.63/560.66
  6. Step 6: Final answer
    x = 814.47

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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.