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Finding the Fourth Proportional to 1,697.40, 2,545.54 and 542.88

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Solution

The fourth proportional to 1,697.40, 2,545.54 and 542.88 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.40 : 2,545.54 = 542.88 : x
  2. Step 2: Convert to fraction form
    1,697.40/2,545.54 = 542.88/x
  3. Step 3: Cross multiply
    1,697.40x = 2,545.54 × 542.88
  4. Step 4: Simplify right side
    1,697.40x = 1,381,922.76
  5. Step 5: Solve for x
    x = 1,381,922.76/1,697.40
  6. Step 6: Final answer
    x = 814.14

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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.