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Finding the Fourth Proportional to 909.35, 1,362.49 and 875.17

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Solution

The fourth proportional to 909.35, 1,362.49 and 875.17 is: 1,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.35 : 1,362.49 = 875.17 : x
  2. Step 2: Convert to fraction form
    909.35/1,362.49 = 875.17/x
  3. Step 3: Cross multiply
    909.35x = 1,362.49 × 875.17
  4. Step 4: Simplify right side
    909.35x = 1,192,409.89
  5. Step 5: Solve for x
    x = 1,192,409.89/909.35
  6. Step 6: Final answer
    x = 1,311.28

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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.