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Finding the Fourth Proportional to 724.60, 998.58 and 537.40

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Solution

The fourth proportional to 724.60, 998.58 and 537.40 is: 740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.60 : 998.58 = 537.40 : x
  2. Step 2: Convert to fraction form
    724.60/998.58 = 537.40/x
  3. Step 3: Cross multiply
    724.60x = 998.58 × 537.40
  4. Step 4: Simplify right side
    724.60x = 536,636.89
  5. Step 5: Solve for x
    x = 536,636.89/724.60
  6. Step 6: Final answer
    x = 740.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.