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Finding the Fourth Proportional to 761.51, 1,144.80 and 625.57

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Solution

The fourth proportional to 761.51, 1,144.80 and 625.57 is: 940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.51 : 1,144.80 = 625.57 : x
  2. Step 2: Convert to fraction form
    761.51/1,144.80 = 625.57/x
  3. Step 3: Cross multiply
    761.51x = 1,144.80 × 625.57
  4. Step 4: Simplify right side
    761.51x = 716,149.67
  5. Step 5: Solve for x
    x = 716,149.67/761.51
  6. Step 6: Final answer
    x = 940.43

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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.