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Finding the Fourth Proportional to 898.41, 1,348.23 and 350.59

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Solution

The fourth proportional to 898.41, 1,348.23 and 350.59 is: 526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.41 : 1,348.23 = 350.59 : x
  2. Step 2: Convert to fraction form
    898.41/1,348.23 = 350.59/x
  3. Step 3: Cross multiply
    898.41x = 1,348.23 × 350.59
  4. Step 4: Simplify right side
    898.41x = 472,675.96
  5. Step 5: Solve for x
    x = 472,675.96/898.41
  6. Step 6: Final answer
    x = 526.12

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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.