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Finding the Fourth Proportional to 974.40, 1,461.33 and 480.57

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Solution

The fourth proportional to 974.40, 1,461.33 and 480.57 is: 720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.40 : 1,461.33 = 480.57 : x
  2. Step 2: Convert to fraction form
    974.40/1,461.33 = 480.57/x
  3. Step 3: Cross multiply
    974.40x = 1,461.33 × 480.57
  4. Step 4: Simplify right side
    974.40x = 702,271.36
  5. Step 5: Solve for x
    x = 702,271.36/974.40
  6. Step 6: Final answer
    x = 720.72

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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.