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Finding the Fourth Proportional to 715.64, 986.64 and 549.68

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Solution

The fourth proportional to 715.64, 986.64 and 549.68 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 986.64 = 549.68 : x
  2. Step 2: Convert to fraction form
    715.64/986.64 = 549.68/x
  3. Step 3: Cross multiply
    715.64x = 986.64 × 549.68
  4. Step 4: Simplify right side
    715.64x = 542,336.28
  5. Step 5: Solve for x
    x = 542,336.28/715.64
  6. Step 6: Final answer
    x = 757.83

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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.