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Finding the Fourth Proportional to 562.10, 841.85 and 542.63

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Solution

The fourth proportional to 562.10, 841.85 and 542.63 is: 812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.10 : 841.85 = 542.63 : x
  2. Step 2: Convert to fraction form
    562.10/841.85 = 542.63/x
  3. Step 3: Cross multiply
    562.10x = 841.85 × 542.63
  4. Step 4: Simplify right side
    562.10x = 456,812.46
  5. Step 5: Solve for x
    x = 456,812.46/562.10
  6. Step 6: Final answer
    x = 812.69

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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.