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Finding the Fourth Proportional to 952.18, 1,314.75 and 730.78

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Solution

The fourth proportional to 952.18, 1,314.75 and 730.78 is: 1,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.18 : 1,314.75 = 730.78 : x
  2. Step 2: Convert to fraction form
    952.18/1,314.75 = 730.78/x
  3. Step 3: Cross multiply
    952.18x = 1,314.75 × 730.78
  4. Step 4: Simplify right side
    952.18x = 960,793.01
  5. Step 5: Solve for x
    x = 960,793.01/952.18
  6. Step 6: Final answer
    x = 1,009.05

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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.