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Finding the Fourth Proportional to 1,012.90, 1,397.84 and 614.69

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Solution

The fourth proportional to 1,012.90, 1,397.84 and 614.69 is: 848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.90 : 1,397.84 = 614.69 : x
  2. Step 2: Convert to fraction form
    1,012.90/1,397.84 = 614.69/x
  3. Step 3: Cross multiply
    1,012.90x = 1,397.84 × 614.69
  4. Step 4: Simplify right side
    1,012.90x = 859,238.27
  5. Step 5: Solve for x
    x = 859,238.27/1,012.90
  6. Step 6: Final answer
    x = 848.30

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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.