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Finding the Fourth Proportional to 1,012.48, 1,397.02 and 614.06

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Solution

The fourth proportional to 1,012.48, 1,397.02 and 614.06 is: 847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.48 : 1,397.02 = 614.06 : x
  2. Step 2: Convert to fraction form
    1,012.48/1,397.02 = 614.06/x
  3. Step 3: Cross multiply
    1,012.48x = 1,397.02 × 614.06
  4. Step 4: Simplify right side
    1,012.48x = 857,854.10
  5. Step 5: Solve for x
    x = 857,854.10/1,012.48
  6. Step 6: Final answer
    x = 847.28

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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.