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Finding the Fourth Proportional to 898.20, 1,347.10 and 350.08

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Solution

The fourth proportional to 898.20, 1,347.10 and 350.08 is: 525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.20 : 1,347.10 = 350.08 : x
  2. Step 2: Convert to fraction form
    898.20/1,347.10 = 350.08/x
  3. Step 3: Cross multiply
    898.20x = 1,347.10 × 350.08
  4. Step 4: Simplify right side
    898.20x = 471,592.77
  5. Step 5: Solve for x
    x = 471,592.77/898.20
  6. Step 6: Final answer
    x = 525.04

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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.