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Finding the Fourth Proportional to 787.40, 1,178.70 and 614.60

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Solution

The fourth proportional to 787.40, 1,178.70 and 614.60 is: 920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.40 : 1,178.70 = 614.60 : x
  2. Step 2: Convert to fraction form
    787.40/1,178.70 = 614.60/x
  3. Step 3: Cross multiply
    787.40x = 1,178.70 × 614.60
  4. Step 4: Simplify right side
    787.40x = 724,429.02
  5. Step 5: Solve for x
    x = 724,429.02/787.40
  6. Step 6: Final answer
    x = 920.03

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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.