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Finding the Fourth Proportional to 705.66, 1,063.08 and 645.52

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Solution

The fourth proportional to 705.66, 1,063.08 and 645.52 is: 972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 1,063.08 = 645.52 : x
  2. Step 2: Convert to fraction form
    705.66/1,063.08 = 645.52/x
  3. Step 3: Cross multiply
    705.66x = 1,063.08 × 645.52
  4. Step 4: Simplify right side
    705.66x = 686,239.40
  5. Step 5: Solve for x
    x = 686,239.40/705.66
  6. Step 6: Final answer
    x = 972.48

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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.