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Finding the Fourth Proportional to 1,123.40, 1,684.47 and 862.75

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Solution

The fourth proportional to 1,123.40, 1,684.47 and 862.75 is: 1,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 1,684.47 = 862.75 : x
  2. Step 2: Convert to fraction form
    1,123.40/1,684.47 = 862.75/x
  3. Step 3: Cross multiply
    1,123.40x = 1,684.47 × 862.75
  4. Step 4: Simplify right side
    1,123.40x = 1,453,276.49
  5. Step 5: Solve for x
    x = 1,453,276.49/1,123.40
  6. Step 6: Final answer
    x = 1,293.64

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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.