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Finding the Fourth Proportional to 701.46, 964.71 and 613.98

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Solution

The fourth proportional to 701.46, 964.71 and 613.98 is: 844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 964.71 = 613.98 : x
  2. Step 2: Convert to fraction form
    701.46/964.71 = 613.98/x
  3. Step 3: Cross multiply
    701.46x = 964.71 × 613.98
  4. Step 4: Simplify right side
    701.46x = 592,312.65
  5. Step 5: Solve for x
    x = 592,312.65/701.46
  6. Step 6: Final answer
    x = 844.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.