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Finding the Fourth Proportional to 950.92, 1,312.29 and 558.13

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Solution

The fourth proportional to 950.92, 1,312.29 and 558.13 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.92 : 1,312.29 = 558.13 : x
  2. Step 2: Convert to fraction form
    950.92/1,312.29 = 558.13/x
  3. Step 3: Cross multiply
    950.92x = 1,312.29 × 558.13
  4. Step 4: Simplify right side
    950.92x = 732,428.42
  5. Step 5: Solve for x
    x = 732,428.42/950.92
  6. Step 6: Final answer
    x = 770.23

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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.