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Finding the Fourth Proportional to 865.87, 1,304.65 and 715.17

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Solution

The fourth proportional to 865.87, 1,304.65 and 715.17 is: 1,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.87 : 1,304.65 = 715.17 : x
  2. Step 2: Convert to fraction form
    865.87/1,304.65 = 715.17/x
  3. Step 3: Cross multiply
    865.87x = 1,304.65 × 715.17
  4. Step 4: Simplify right side
    865.87x = 933,051.96
  5. Step 5: Solve for x
    x = 933,051.96/865.87
  6. Step 6: Final answer
    x = 1,077.59

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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.