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Finding the Fourth Proportional to 1,046.57, 1,445.47 and 879.13

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Solution

The fourth proportional to 1,046.57, 1,445.47 and 879.13 is: 1,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.57 : 1,445.47 = 879.13 : x
  2. Step 2: Convert to fraction form
    1,046.57/1,445.47 = 879.13/x
  3. Step 3: Cross multiply
    1,046.57x = 1,445.47 × 879.13
  4. Step 4: Simplify right side
    1,046.57x = 1,270,754.06
  5. Step 5: Solve for x
    x = 1,270,754.06/1,046.57
  6. Step 6: Final answer
    x = 1,214.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.