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Finding the Fourth Proportional to 699.20, 964.91 and 380.18

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Solution

The fourth proportional to 699.20, 964.91 and 380.18 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.20 : 964.91 = 380.18 : x
  2. Step 2: Convert to fraction form
    699.20/964.91 = 380.18/x
  3. Step 3: Cross multiply
    699.20x = 964.91 × 380.18
  4. Step 4: Simplify right side
    699.20x = 366,842.85
  5. Step 5: Solve for x
    x = 366,842.85/699.20
  6. Step 6: Final answer
    x = 524.66

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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.