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Finding the Fourth Proportional to 898.89, 1,347.72 and 350.92

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Solution

The fourth proportional to 898.89, 1,347.72 and 350.92 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.89 : 1,347.72 = 350.92 : x
  2. Step 2: Convert to fraction form
    898.89/1,347.72 = 350.92/x
  3. Step 3: Cross multiply
    898.89x = 1,347.72 × 350.92
  4. Step 4: Simplify right side
    898.89x = 472,941.90
  5. Step 5: Solve for x
    x = 472,941.90/898.89
  6. Step 6: Final answer
    x = 526.14

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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.