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Finding the Fourth Proportional to 909.15, 1,254.64 and 644.06

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Solution

The fourth proportional to 909.15, 1,254.64 and 644.06 is: 888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.15 : 1,254.64 = 644.06 : x
  2. Step 2: Convert to fraction form
    909.15/1,254.64 = 644.06/x
  3. Step 3: Cross multiply
    909.15x = 1,254.64 × 644.06
  4. Step 4: Simplify right side
    909.15x = 808,063.44
  5. Step 5: Solve for x
    x = 808,063.44/909.15
  6. Step 6: Final answer
    x = 888.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.