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Finding the Fourth Proportional to 909.91, 1,365.04 and 389.91

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Solution

The fourth proportional to 909.91, 1,365.04 and 389.91 is: 584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.91 : 1,365.04 = 389.91 : x
  2. Step 2: Convert to fraction form
    909.91/1,365.04 = 389.91/x
  3. Step 3: Cross multiply
    909.91x = 1,365.04 × 389.91
  4. Step 4: Simplify right side
    909.91x = 532,242.75
  5. Step 5: Solve for x
    x = 532,242.75/909.91
  6. Step 6: Final answer
    x = 584.94

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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.