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Finding the Fourth Proportional to 975.12, 1,345.68 and 549.78

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Solution

The fourth proportional to 975.12, 1,345.68 and 549.78 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.12 : 1,345.68 = 549.78 : x
  2. Step 2: Convert to fraction form
    975.12/1,345.68 = 549.78/x
  3. Step 3: Cross multiply
    975.12x = 1,345.68 × 549.78
  4. Step 4: Simplify right side
    975.12x = 739,827.95
  5. Step 5: Solve for x
    x = 739,827.95/975.12
  6. Step 6: Final answer
    x = 758.70

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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.