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Finding the Fourth Proportional to 708.12, 970.76 and 696.78

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Solution

The fourth proportional to 708.12, 970.76 and 696.78 is: 955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 970.76 = 696.78 : x
  2. Step 2: Convert to fraction form
    708.12/970.76 = 696.78/x
  3. Step 3: Cross multiply
    708.12x = 970.76 × 696.78
  4. Step 4: Simplify right side
    708.12x = 676,402.67
  5. Step 5: Solve for x
    x = 676,402.67/708.12
  6. Step 6: Final answer
    x = 955.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.