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Finding the Fourth Proportional to 974.45, 1,461.80 and 316.11

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Solution

The fourth proportional to 974.45, 1,461.80 and 316.11 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.45 : 1,461.80 = 316.11 : x
  2. Step 2: Convert to fraction form
    974.45/1,461.80 = 316.11/x
  3. Step 3: Cross multiply
    974.45x = 1,461.80 × 316.11
  4. Step 4: Simplify right side
    974.45x = 462,088.02
  5. Step 5: Solve for x
    x = 462,088.02/974.45
  6. Step 6: Final answer
    x = 474.21

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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.