Home / 1,046.07-1,569.65-498.15

Finding the Fourth Proportional to 1,046.07, 1,569.65 and 498.15

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Solution

The fourth proportional to 1,046.07, 1,569.65 and 498.15 is: 747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,569.65 = 498.15 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,569.65 = 498.15/x
  3. Step 3: Cross multiply
    1,046.07x = 1,569.65 × 498.15
  4. Step 4: Simplify right side
    1,046.07x = 781,918.66
  5. Step 5: Solve for x
    x = 781,918.66/1,046.07
  6. Step 6: Final answer
    x = 747.48

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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.