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Finding the Fourth Proportional to 867.36, 1,306.29 and 765.78

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Solution

The fourth proportional to 867.36, 1,306.29 and 765.78 is: 1,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.36 : 1,306.29 = 765.78 : x
  2. Step 2: Convert to fraction form
    867.36/1,306.29 = 765.78/x
  3. Step 3: Cross multiply
    867.36x = 1,306.29 × 765.78
  4. Step 4: Simplify right side
    867.36x = 1,000,330.76
  5. Step 5: Solve for x
    x = 1,000,330.76/867.36
  6. Step 6: Final answer
    x = 1,153.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.