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Finding the Fourth Proportional to 974.04, 1,460.52 and 486.84

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Solution

The fourth proportional to 974.04, 1,460.52 and 486.84 is: 729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.04 : 1,460.52 = 486.84 : x
  2. Step 2: Convert to fraction form
    974.04/1,460.52 = 486.84/x
  3. Step 3: Cross multiply
    974.04x = 1,460.52 × 486.84
  4. Step 4: Simplify right side
    974.04x = 711,039.56
  5. Step 5: Solve for x
    x = 711,039.56/974.04
  6. Step 6: Final answer
    x = 729.99

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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.