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Finding the Fourth Proportional to 1,123.18, 1,685.64 and 575.84

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Solution

The fourth proportional to 1,123.18, 1,685.64 and 575.84 is: 864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.18 : 1,685.64 = 575.84 : x
  2. Step 2: Convert to fraction form
    1,123.18/1,685.64 = 575.84/x
  3. Step 3: Cross multiply
    1,123.18x = 1,685.64 × 575.84
  4. Step 4: Simplify right side
    1,123.18x = 970,658.94
  5. Step 5: Solve for x
    x = 970,658.94/1,123.18
  6. Step 6: Final answer
    x = 864.21

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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.