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Finding the Fourth Proportional to 898.88, 1,346.17 and 459.05

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Solution

The fourth proportional to 898.88, 1,346.17 and 459.05 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.88 : 1,346.17 = 459.05 : x
  2. Step 2: Convert to fraction form
    898.88/1,346.17 = 459.05/x
  3. Step 3: Cross multiply
    898.88x = 1,346.17 × 459.05
  4. Step 4: Simplify right side
    898.88x = 617,959.34
  5. Step 5: Solve for x
    x = 617,959.34/898.88
  6. Step 6: Final answer
    x = 687.48

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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.