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Finding the Fourth Proportional to 898.45, 1,347.19 and 350.31

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Solution

The fourth proportional to 898.45, 1,347.19 and 350.31 is: 525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.45 : 1,347.19 = 350.31 : x
  2. Step 2: Convert to fraction form
    898.45/1,347.19 = 350.31/x
  3. Step 3: Cross multiply
    898.45x = 1,347.19 × 350.31
  4. Step 4: Simplify right side
    898.45x = 471,934.13
  5. Step 5: Solve for x
    x = 471,934.13/898.45
  6. Step 6: Final answer
    x = 525.28

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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.