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Finding the Fourth Proportional to 952.76, 1,314.60 and 538.76

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Solution

The fourth proportional to 952.76, 1,314.60 and 538.76 is: 743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.76 : 1,314.60 = 538.76 : x
  2. Step 2: Convert to fraction form
    952.76/1,314.60 = 538.76/x
  3. Step 3: Cross multiply
    952.76x = 1,314.60 × 538.76
  4. Step 4: Simplify right side
    952.76x = 708,253.90
  5. Step 5: Solve for x
    x = 708,253.90/952.76
  6. Step 6: Final answer
    x = 743.37

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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.