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Finding the Fourth Proportional to 898.34, 1,344.72 and 486.46

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Solution

The fourth proportional to 898.34, 1,344.72 and 486.46 is: 728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.34 : 1,344.72 = 486.46 : x
  2. Step 2: Convert to fraction form
    898.34/1,344.72 = 486.46/x
  3. Step 3: Cross multiply
    898.34x = 1,344.72 × 486.46
  4. Step 4: Simplify right side
    898.34x = 654,148.43
  5. Step 5: Solve for x
    x = 654,148.43/898.34
  6. Step 6: Final answer
    x = 728.17

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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.