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Finding the Fourth Proportional to 909.64, 1,256.01 and 699.49

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Solution

The fourth proportional to 909.64, 1,256.01 and 699.49 is: 965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.64 : 1,256.01 = 699.49 : x
  2. Step 2: Convert to fraction form
    909.64/1,256.01 = 699.49/x
  3. Step 3: Cross multiply
    909.64x = 1,256.01 × 699.49
  4. Step 4: Simplify right side
    909.64x = 878,566.43
  5. Step 5: Solve for x
    x = 878,566.43/909.64
  6. Step 6: Final answer
    x = 965.84

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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.