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Finding the Fourth Proportional to 971.56, 1,447.25 and 916.84

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Solution

The fourth proportional to 971.56, 1,447.25 and 916.84 is: 1,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,447.25 = 916.84 : x
  2. Step 2: Convert to fraction form
    971.56/1,447.25 = 916.84/x
  3. Step 3: Cross multiply
    971.56x = 1,447.25 × 916.84
  4. Step 4: Simplify right side
    971.56x = 1,326,896.69
  5. Step 5: Solve for x
    x = 1,326,896.69/971.56
  6. Step 6: Final answer
    x = 1,365.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.