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Finding the Fourth Proportional to 1,124.34, 1,681.65 and 917.34

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Solution

The fourth proportional to 1,124.34, 1,681.65 and 917.34 is: 1,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.34 : 1,681.65 = 917.34 : x
  2. Step 2: Convert to fraction form
    1,124.34/1,681.65 = 917.34/x
  3. Step 3: Cross multiply
    1,124.34x = 1,681.65 × 917.34
  4. Step 4: Simplify right side
    1,124.34x = 1,542,644.81
  5. Step 5: Solve for x
    x = 1,542,644.81/1,124.34
  6. Step 6: Final answer
    x = 1,372.04

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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.