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Finding the Fourth Proportional to 781.53, 1,170.18 and 488.33

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Solution

The fourth proportional to 781.53, 1,170.18 and 488.33 is: 731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.53 : 1,170.18 = 488.33 : x
  2. Step 2: Convert to fraction form
    781.53/1,170.18 = 488.33/x
  3. Step 3: Cross multiply
    781.53x = 1,170.18 × 488.33
  4. Step 4: Simplify right side
    781.53x = 571,434.00
  5. Step 5: Solve for x
    x = 571,434.00/781.53
  6. Step 6: Final answer
    x = 731.17

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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.