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Finding the Fourth Proportional to 1,046.76, 1,570.08 and 498.90

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Solution

The fourth proportional to 1,046.76, 1,570.08 and 498.90 is: 748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.76 : 1,570.08 = 498.90 : x
  2. Step 2: Convert to fraction form
    1,046.76/1,570.08 = 498.90/x
  3. Step 3: Cross multiply
    1,046.76x = 1,570.08 × 498.90
  4. Step 4: Simplify right side
    1,046.76x = 783,312.91
  5. Step 5: Solve for x
    x = 783,312.91/1,046.76
  6. Step 6: Final answer
    x = 748.32

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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.