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Finding the Fourth Proportional to 498.47, 746.32 and 460.19

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Solution

The fourth proportional to 498.47, 746.32 and 460.19 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.47 : 746.32 = 460.19 : x
  2. Step 2: Convert to fraction form
    498.47/746.32 = 460.19/x
  3. Step 3: Cross multiply
    498.47x = 746.32 × 460.19
  4. Step 4: Simplify right side
    498.47x = 343,446.70
  5. Step 5: Solve for x
    x = 343,446.70/498.47
  6. Step 6: Final answer
    x = 689.00

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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.