Home / 1,046.60-1,569.12-498.14

Finding the Fourth Proportional to 1,046.60, 1,569.12 and 498.14

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Solution

The fourth proportional to 1,046.60, 1,569.12 and 498.14 is: 746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.60 : 1,569.12 = 498.14 : x
  2. Step 2: Convert to fraction form
    1,046.60/1,569.12 = 498.14/x
  3. Step 3: Cross multiply
    1,046.60x = 1,569.12 × 498.14
  4. Step 4: Simplify right side
    1,046.60x = 781,641.44
  5. Step 5: Solve for x
    x = 781,641.44/1,046.60
  6. Step 6: Final answer
    x = 746.84

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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.