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Finding the Fourth Proportional to 1,123.01, 1,685.24 and 545.57

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Solution

The fourth proportional to 1,123.01, 1,685.24 and 545.57 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.01 : 1,685.24 = 545.57 : x
  2. Step 2: Convert to fraction form
    1,123.01/1,685.24 = 545.57/x
  3. Step 3: Cross multiply
    1,123.01x = 1,685.24 × 545.57
  4. Step 4: Simplify right side
    1,123.01x = 919,413.66
  5. Step 5: Solve for x
    x = 919,413.66/1,123.01
  6. Step 6: Final answer
    x = 818.70

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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.