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Finding the Fourth Proportional to 909.66, 1,254.72 and 722.88

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Solution

The fourth proportional to 909.66, 1,254.72 and 722.88 is: 997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.66 : 1,254.72 = 722.88 : x
  2. Step 2: Convert to fraction form
    909.66/1,254.72 = 722.88/x
  3. Step 3: Cross multiply
    909.66x = 1,254.72 × 722.88
  4. Step 4: Simplify right side
    909.66x = 907,011.99
  5. Step 5: Solve for x
    x = 907,011.99/909.66
  6. Step 6: Final answer
    x = 997.09

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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.