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Finding the Fourth Proportional to 974.61, 1,459.66 and 486.09

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Solution

The fourth proportional to 974.61, 1,459.66 and 486.09 is: 728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.61 : 1,459.66 = 486.09 : x
  2. Step 2: Convert to fraction form
    974.61/1,459.66 = 486.09/x
  3. Step 3: Cross multiply
    974.61x = 1,459.66 × 486.09
  4. Step 4: Simplify right side
    974.61x = 709,526.13
  5. Step 5: Solve for x
    x = 709,526.13/974.61
  6. Step 6: Final answer
    x = 728.01

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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.