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Finding the Fourth Proportional to 974.58, 1,345.01 and 725.36

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Solution

The fourth proportional to 974.58, 1,345.01 and 725.36 is: 1,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.58 : 1,345.01 = 725.36 : x
  2. Step 2: Convert to fraction form
    974.58/1,345.01 = 725.36/x
  3. Step 3: Cross multiply
    974.58x = 1,345.01 × 725.36
  4. Step 4: Simplify right side
    974.58x = 975,606.10
  5. Step 5: Solve for x
    x = 975,606.10/974.58
  6. Step 6: Final answer
    x = 1,001.05

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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.