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Finding the Fourth Proportional to 708.25, 1,063.59 and 643.86

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Solution

The fourth proportional to 708.25, 1,063.59 and 643.86 is: 966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 1,063.59 = 643.86 : x
  2. Step 2: Convert to fraction form
    708.25/1,063.59 = 643.86/x
  3. Step 3: Cross multiply
    708.25x = 1,063.59 × 643.86
  4. Step 4: Simplify right side
    708.25x = 684,803.06
  5. Step 5: Solve for x
    x = 684,803.06/708.25
  6. Step 6: Final answer
    x = 966.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.