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Finding the Fourth Proportional to 743.53, 1,113.57 and 588.43

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Solution

The fourth proportional to 743.53, 1,113.57 and 588.43 is: 881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.53 : 1,113.57 = 588.43 : x
  2. Step 2: Convert to fraction form
    743.53/1,113.57 = 588.43/x
  3. Step 3: Cross multiply
    743.53x = 1,113.57 × 588.43
  4. Step 4: Simplify right side
    743.53x = 655,258.00
  5. Step 5: Solve for x
    x = 655,258.00/743.53
  6. Step 6: Final answer
    x = 881.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.