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Finding the Fourth Proportional to 913.96, 1,363.25 and 853.48

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Solution

The fourth proportional to 913.96, 1,363.25 and 853.48 is: 1,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.96 : 1,363.25 = 853.48 : x
  2. Step 2: Convert to fraction form
    913.96/1,363.25 = 853.48/x
  3. Step 3: Cross multiply
    913.96x = 1,363.25 × 853.48
  4. Step 4: Simplify right side
    913.96x = 1,163,506.61
  5. Step 5: Solve for x
    x = 1,163,506.61/913.96
  6. Step 6: Final answer
    x = 1,273.04

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1.5x scale

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.