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Finding the Fourth Proportional to 974.76, 1,461.66 and 341.48

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Solution

The fourth proportional to 974.76, 1,461.66 and 341.48 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.76 : 1,461.66 = 341.48 : x
  2. Step 2: Convert to fraction form
    974.76/1,461.66 = 341.48/x
  3. Step 3: Cross multiply
    974.76x = 1,461.66 × 341.48
  4. Step 4: Simplify right side
    974.76x = 499,127.66
  5. Step 5: Solve for x
    x = 499,127.66/974.76
  6. Step 6: Final answer
    x = 512.05

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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.