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Finding the Fourth Proportional to 705.76, 1,053.45 and 656.24

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Solution

The fourth proportional to 705.76, 1,053.45 and 656.24 is: 979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.76 : 1,053.45 = 656.24 : x
  2. Step 2: Convert to fraction form
    705.76/1,053.45 = 656.24/x
  3. Step 3: Cross multiply
    705.76x = 1,053.45 × 656.24
  4. Step 4: Simplify right side
    705.76x = 691,316.03
  5. Step 5: Solve for x
    x = 691,316.03/705.76
  6. Step 6: Final answer
    x = 979.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.