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Finding the Fourth Proportional to 909.25, 1,364.18 and 538.99

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Solution

The fourth proportional to 909.25, 1,364.18 and 538.99 is: 808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.25 : 1,364.18 = 538.99 : x
  2. Step 2: Convert to fraction form
    909.25/1,364.18 = 538.99/x
  3. Step 3: Cross multiply
    909.25x = 1,364.18 × 538.99
  4. Step 4: Simplify right side
    909.25x = 735,273.27
  5. Step 5: Solve for x
    x = 735,273.27/909.25
  6. Step 6: Final answer
    x = 808.66

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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.