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Finding the Fourth Proportional to 706.36, 974.52 and 549.64

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Solution

The fourth proportional to 706.36, 974.52 and 549.64 is: 758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 974.52 = 549.64 : x
  2. Step 2: Convert to fraction form
    706.36/974.52 = 549.64/x
  3. Step 3: Cross multiply
    706.36x = 974.52 × 549.64
  4. Step 4: Simplify right side
    706.36x = 535,635.17
  5. Step 5: Solve for x
    x = 535,635.17/706.36
  6. Step 6: Final answer
    x = 758.30

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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.