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Finding the Fourth Proportional to 1,123.37, 1,685.10 and 575.40

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Solution

The fourth proportional to 1,123.37, 1,685.10 and 575.40 is: 863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.37 : 1,685.10 = 575.40 : x
  2. Step 2: Convert to fraction form
    1,123.37/1,685.10 = 575.40/x
  3. Step 3: Cross multiply
    1,123.37x = 1,685.10 × 575.40
  4. Step 4: Simplify right side
    1,123.37x = 969,615.02
  5. Step 5: Solve for x
    x = 969,615.02/1,123.37
  6. Step 6: Final answer
    x = 863.13

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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.