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Finding the Fourth Proportional to 909.33, 1,364.04 and 546.45

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Solution

The fourth proportional to 909.33, 1,364.04 and 546.45 is: 819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.33 : 1,364.04 = 546.45 : x
  2. Step 2: Convert to fraction form
    909.33/1,364.04 = 546.45/x
  3. Step 3: Cross multiply
    909.33x = 1,364.04 × 546.45
  4. Step 4: Simplify right side
    909.33x = 745,379.66
  5. Step 5: Solve for x
    x = 745,379.66/909.33
  6. Step 6: Final answer
    x = 819.70

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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.