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Finding the Fourth Proportional to 561.04, 842.02 and 539.18

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Solution

The fourth proportional to 561.04, 842.02 and 539.18 is: 809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 842.02 = 539.18 : x
  2. Step 2: Convert to fraction form
    561.04/842.02 = 539.18/x
  3. Step 3: Cross multiply
    561.04x = 842.02 × 539.18
  4. Step 4: Simplify right side
    561.04x = 454,000.34
  5. Step 5: Solve for x
    x = 454,000.34/561.04
  6. Step 6: Final answer
    x = 809.21

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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.