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Finding the Fourth Proportional to 974.18, 1,345.49 and 709.82

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Solution

The fourth proportional to 974.18, 1,345.49 and 709.82 is: 980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,345.49 = 709.82 : x
  2. Step 2: Convert to fraction form
    974.18/1,345.49 = 709.82/x
  3. Step 3: Cross multiply
    974.18x = 1,345.49 × 709.82
  4. Step 4: Simplify right side
    974.18x = 955,050.76
  5. Step 5: Solve for x
    x = 955,050.76/974.18
  6. Step 6: Final answer
    x = 980.37

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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.