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Finding the Fourth Proportional to 985.20, 1,476.46 and 498.58

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Solution

The fourth proportional to 985.20, 1,476.46 and 498.58 is: 747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.20 : 1,476.46 = 498.58 : x
  2. Step 2: Convert to fraction form
    985.20/1,476.46 = 498.58/x
  3. Step 3: Cross multiply
    985.20x = 1,476.46 × 498.58
  4. Step 4: Simplify right side
    985.20x = 736,133.43
  5. Step 5: Solve for x
    x = 736,133.43/985.20
  6. Step 6: Final answer
    x = 747.19

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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.