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Finding the Fourth Proportional to 931.02, 1,397.16 and 498.48

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Solution

The fourth proportional to 931.02, 1,397.16 and 498.48 is: 748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.02 : 1,397.16 = 498.48 : x
  2. Step 2: Convert to fraction form
    931.02/1,397.16 = 498.48/x
  3. Step 3: Cross multiply
    931.02x = 1,397.16 × 498.48
  4. Step 4: Simplify right side
    931.02x = 696,456.32
  5. Step 5: Solve for x
    x = 696,456.32/931.02
  6. Step 6: Final answer
    x = 748.06

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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.