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Finding the Fourth Proportional to 946.79, 1,414.75 and 723.20

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Solution

The fourth proportional to 946.79, 1,414.75 and 723.20 is: 1,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.79 : 1,414.75 = 723.20 : x
  2. Step 2: Convert to fraction form
    946.79/1,414.75 = 723.20/x
  3. Step 3: Cross multiply
    946.79x = 1,414.75 × 723.20
  4. Step 4: Simplify right side
    946.79x = 1,023,138.32
  5. Step 5: Solve for x
    x = 1,023,138.32/946.79
  6. Step 6: Final answer
    x = 1,080.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.