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Finding the Fourth Proportional to 710.62, 1,059.15 and 696.95

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Solution

The fourth proportional to 710.62, 1,059.15 and 696.95 is: 1,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.62 : 1,059.15 = 696.95 : x
  2. Step 2: Convert to fraction form
    710.62/1,059.15 = 696.95/x
  3. Step 3: Cross multiply
    710.62x = 1,059.15 × 696.95
  4. Step 4: Simplify right side
    710.62x = 738,175.88
  5. Step 5: Solve for x
    x = 738,175.88/710.62
  6. Step 6: Final answer
    x = 1,038.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.