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Finding the Fourth Proportional to 913.48, 1,257.70 and 830.33

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Solution

The fourth proportional to 913.48, 1,257.70 and 830.33 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,257.70 = 830.33 : x
  2. Step 2: Convert to fraction form
    913.48/1,257.70 = 830.33/x
  3. Step 3: Cross multiply
    913.48x = 1,257.70 × 830.33
  4. Step 4: Simplify right side
    913.48x = 1,044,306.04
  5. Step 5: Solve for x
    x = 1,044,306.04/913.48
  6. Step 6: Final answer
    x = 1,143.22

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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.