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Finding the Fourth Proportional to 912.88, 1,259.52 and 634.24

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Solution

The fourth proportional to 912.88, 1,259.52 and 634.24 is: 875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.88 : 1,259.52 = 634.24 : x
  2. Step 2: Convert to fraction form
    912.88/1,259.52 = 634.24/x
  3. Step 3: Cross multiply
    912.88x = 1,259.52 × 634.24
  4. Step 4: Simplify right side
    912.88x = 798,837.96
  5. Step 5: Solve for x
    x = 798,837.96/912.88
  6. Step 6: Final answer
    x = 875.07

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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.