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Finding the Fourth Proportional to 974.83, 1,461.09 and 486.88

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Solution

The fourth proportional to 974.83, 1,461.09 and 486.88 is: 729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.83 : 1,461.09 = 486.88 : x
  2. Step 2: Convert to fraction form
    974.83/1,461.09 = 486.88/x
  3. Step 3: Cross multiply
    974.83x = 1,461.09 × 486.88
  4. Step 4: Simplify right side
    974.83x = 711,375.50
  5. Step 5: Solve for x
    x = 711,375.50/974.83
  6. Step 6: Final answer
    x = 729.74

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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.