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Finding the Fourth Proportional to 974.92, 1,460.31 and 907.49

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Solution

The fourth proportional to 974.92, 1,460.31 and 907.49 is: 1,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,460.31 = 907.49 : x
  2. Step 2: Convert to fraction form
    974.92/1,460.31 = 907.49/x
  3. Step 3: Cross multiply
    974.92x = 1,460.31 × 907.49
  4. Step 4: Simplify right side
    974.92x = 1,325,216.72
  5. Step 5: Solve for x
    x = 1,325,216.72/974.92
  6. Step 6: Final answer
    x = 1,359.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.