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Finding the Fourth Proportional to 975.61, 1,464.11 and 732.79

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Solution

The fourth proportional to 975.61, 1,464.11 and 732.79 is: 1,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.61 : 1,464.11 = 732.79 : x
  2. Step 2: Convert to fraction form
    975.61/1,464.11 = 732.79/x
  3. Step 3: Cross multiply
    975.61x = 1,464.11 × 732.79
  4. Step 4: Simplify right side
    975.61x = 1,072,885.17
  5. Step 5: Solve for x
    x = 1,072,885.17/975.61
  6. Step 6: Final answer
    x = 1,099.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.