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Finding the Fourth Proportional to 859.28, 1,184.46 and 702.56

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Solution

The fourth proportional to 859.28, 1,184.46 and 702.56 is: 968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.28 : 1,184.46 = 702.56 : x
  2. Step 2: Convert to fraction form
    859.28/1,184.46 = 702.56/x
  3. Step 3: Cross multiply
    859.28x = 1,184.46 × 702.56
  4. Step 4: Simplify right side
    859.28x = 832,154.22
  5. Step 5: Solve for x
    x = 832,154.22/859.28
  6. Step 6: Final answer
    x = 968.43

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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.