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Finding the Fourth Proportional to 1,114.50, 1,672.02 and 785.24

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Solution

The fourth proportional to 1,114.50, 1,672.02 and 785.24 is: 1,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.50 : 1,672.02 = 785.24 : x
  2. Step 2: Convert to fraction form
    1,114.50/1,672.02 = 785.24/x
  3. Step 3: Cross multiply
    1,114.50x = 1,672.02 × 785.24
  4. Step 4: Simplify right side
    1,114.50x = 1,312,928.62
  5. Step 5: Solve for x
    x = 1,312,928.62/1,114.50
  6. Step 6: Final answer
    x = 1,178.04

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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.