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Finding the Fourth Proportional to 974.83, 1,345.38 and 543.70

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Solution

The fourth proportional to 974.83, 1,345.38 and 543.70 is: 750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.83 : 1,345.38 = 543.70 : x
  2. Step 2: Convert to fraction form
    974.83/1,345.38 = 543.70/x
  3. Step 3: Cross multiply
    974.83x = 1,345.38 × 543.70
  4. Step 4: Simplify right side
    974.83x = 731,473.66
  5. Step 5: Solve for x
    x = 731,473.66/974.83
  6. Step 6: Final answer
    x = 750.36

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Double scale
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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.