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Finding the Fourth Proportional to 975.05, 1,345.38 and 549.55

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Solution

The fourth proportional to 975.05, 1,345.38 and 549.55 is: 758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.05 : 1,345.38 = 549.55 : x
  2. Step 2: Convert to fraction form
    975.05/1,345.38 = 549.55/x
  3. Step 3: Cross multiply
    975.05x = 1,345.38 × 549.55
  4. Step 4: Simplify right side
    975.05x = 739,346.85
  5. Step 5: Solve for x
    x = 739,346.85/975.05
  6. Step 6: Final answer
    x = 758.27

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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.