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Finding the Fourth Proportional to 1,306.25, 1,955.93 and 916.73

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Solution

The fourth proportional to 1,306.25, 1,955.93 and 916.73 is: 1,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.25 : 1,955.93 = 916.73 : x
  2. Step 2: Convert to fraction form
    1,306.25/1,955.93 = 916.73/x
  3. Step 3: Cross multiply
    1,306.25x = 1,955.93 × 916.73
  4. Step 4: Simplify right side
    1,306.25x = 1,793,045.35
  5. Step 5: Solve for x
    x = 1,793,045.35/1,306.25
  6. Step 6: Final answer
    x = 1,372.67

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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.