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Finding the Fourth Proportional to 950.46, 1,312.54 and 898.69

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Solution

The fourth proportional to 950.46, 1,312.54 and 898.69 is: 1,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.46 : 1,312.54 = 898.69 : x
  2. Step 2: Convert to fraction form
    950.46/1,312.54 = 898.69/x
  3. Step 3: Cross multiply
    950.46x = 1,312.54 × 898.69
  4. Step 4: Simplify right side
    950.46x = 1,179,558.80
  5. Step 5: Solve for x
    x = 1,179,558.80/950.46
  6. Step 6: Final answer
    x = 1,241.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.