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Finding the Fourth Proportional to 898.65, 1,348.31 and 351.21

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Solution

The fourth proportional to 898.65, 1,348.31 and 351.21 is: 526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.65 : 1,348.31 = 351.21 : x
  2. Step 2: Convert to fraction form
    898.65/1,348.31 = 351.21/x
  3. Step 3: Cross multiply
    898.65x = 1,348.31 × 351.21
  4. Step 4: Simplify right side
    898.65x = 473,539.96
  5. Step 5: Solve for x
    x = 473,539.96/898.65
  6. Step 6: Final answer
    x = 526.95

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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.