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Finding the Fourth Proportional to 974.02, 1,461.28 and 511.67

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Solution

The fourth proportional to 974.02, 1,461.28 and 511.67 is: 767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.02 : 1,461.28 = 511.67 : x
  2. Step 2: Convert to fraction form
    974.02/1,461.28 = 511.67/x
  3. Step 3: Cross multiply
    974.02x = 1,461.28 × 511.67
  4. Step 4: Simplify right side
    974.02x = 747,685.83
  5. Step 5: Solve for x
    x = 747,685.83/974.02
  6. Step 6: Final answer
    x = 767.63

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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.