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Finding the Fourth Proportional to 909.65, 1,364.85 and 617.48

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Solution

The fourth proportional to 909.65, 1,364.85 and 617.48 is: 926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.65 : 1,364.85 = 617.48 : x
  2. Step 2: Convert to fraction form
    909.65/1,364.85 = 617.48/x
  3. Step 3: Cross multiply
    909.65x = 1,364.85 × 617.48
  4. Step 4: Simplify right side
    909.65x = 842,760.75
  5. Step 5: Solve for x
    x = 842,760.75/909.65
  6. Step 6: Final answer
    x = 926.47

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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.