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Finding the Fourth Proportional to 938.55, 1,295.19 and 589.17

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Solution

The fourth proportional to 938.55, 1,295.19 and 589.17 is: 813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.55 : 1,295.19 = 589.17 : x
  2. Step 2: Convert to fraction form
    938.55/1,295.19 = 589.17/x
  3. Step 3: Cross multiply
    938.55x = 1,295.19 × 589.17
  4. Step 4: Simplify right side
    938.55x = 763,087.09
  5. Step 5: Solve for x
    x = 763,087.09/938.55
  6. Step 6: Final answer
    x = 813.05

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1.5x scale

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.