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Finding the Fourth Proportional to 862.90, 1,191.30 and 614.50

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Solution

The fourth proportional to 862.90, 1,191.30 and 614.50 is: 848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.90 : 1,191.30 = 614.50 : x
  2. Step 2: Convert to fraction form
    862.90/1,191.30 = 614.50/x
  3. Step 3: Cross multiply
    862.90x = 1,191.30 × 614.50
  4. Step 4: Simplify right side
    862.90x = 732,053.85
  5. Step 5: Solve for x
    x = 732,053.85/862.90
  6. Step 6: Final answer
    x = 848.36

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1.5x scale

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.