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Finding the Fourth Proportional to 715.53, 991.27 and 698.52

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Solution

The fourth proportional to 715.53, 991.27 and 698.52 is: 967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.53 : 991.27 = 698.52 : x
  2. Step 2: Convert to fraction form
    715.53/991.27 = 698.52/x
  3. Step 3: Cross multiply
    715.53x = 991.27 × 698.52
  4. Step 4: Simplify right side
    715.53x = 692,421.92
  5. Step 5: Solve for x
    x = 692,421.92/715.53
  6. Step 6: Final answer
    x = 967.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.