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Finding the Fourth Proportional to 707.39, 975.52 and 549.80

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Solution

The fourth proportional to 707.39, 975.52 and 549.80 is: 758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.39 : 975.52 = 549.80 : x
  2. Step 2: Convert to fraction form
    707.39/975.52 = 549.80/x
  3. Step 3: Cross multiply
    707.39x = 975.52 × 549.80
  4. Step 4: Simplify right side
    707.39x = 536,340.36
  5. Step 5: Solve for x
    x = 536,340.36/707.39
  6. Step 6: Final answer
    x = 758.19

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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.