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Finding the Fourth Proportional to 867.80, 1,301.70 and 778.20

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Solution

The fourth proportional to 867.80, 1,301.70 and 778.20 is: 1,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,301.70 = 778.20 : x
  2. Step 2: Convert to fraction form
    867.80/1,301.70 = 778.20/x
  3. Step 3: Cross multiply
    867.80x = 1,301.70 × 778.20
  4. Step 4: Simplify right side
    867.80x = 1,012,982.94
  5. Step 5: Solve for x
    x = 1,012,982.94/867.80
  6. Step 6: Final answer
    x = 1,167.30

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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.