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Finding the Fourth Proportional to 974.07, 1,345.14 and 886.59

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Solution

The fourth proportional to 974.07, 1,345.14 and 886.59 is: 1,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,345.14 = 886.59 : x
  2. Step 2: Convert to fraction form
    974.07/1,345.14 = 886.59/x
  3. Step 3: Cross multiply
    974.07x = 1,345.14 × 886.59
  4. Step 4: Simplify right side
    974.07x = 1,192,587.67
  5. Step 5: Solve for x
    x = 1,192,587.67/974.07
  6. Step 6: Final answer
    x = 1,224.33

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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.