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Finding the Fourth Proportional to 715.76, 988.19 and 549.65

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Solution

The fourth proportional to 715.76, 988.19 and 549.65 is: 758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 988.19 = 549.65 : x
  2. Step 2: Convert to fraction form
    715.76/988.19 = 549.65/x
  3. Step 3: Cross multiply
    715.76x = 988.19 × 549.65
  4. Step 4: Simplify right side
    715.76x = 543,153.41
  5. Step 5: Solve for x
    x = 543,153.41/715.76
  6. Step 6: Final answer
    x = 758.85

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Why These Related Problems?

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