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Finding the Fourth Proportional to 909.76, 1,253.28 and 854.08

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Solution

The fourth proportional to 909.76, 1,253.28 and 854.08 is: 1,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.76 : 1,253.28 = 854.08 : x
  2. Step 2: Convert to fraction form
    909.76/1,253.28 = 854.08/x
  3. Step 3: Cross multiply
    909.76x = 1,253.28 × 854.08
  4. Step 4: Simplify right side
    909.76x = 1,070,401.38
  5. Step 5: Solve for x
    x = 1,070,401.38/909.76
  6. Step 6: Final answer
    x = 1,176.58

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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.