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Finding the Fourth Proportional to 946.87, 1,306.32 and 698.78

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Solution

The fourth proportional to 946.87, 1,306.32 and 698.78 is: 964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.87 : 1,306.32 = 698.78 : x
  2. Step 2: Convert to fraction form
    946.87/1,306.32 = 698.78/x
  3. Step 3: Cross multiply
    946.87x = 1,306.32 × 698.78
  4. Step 4: Simplify right side
    946.87x = 912,826.04
  5. Step 5: Solve for x
    x = 912,826.04/946.87
  6. Step 6: Final answer
    x = 964.05

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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.