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Finding the Fourth Proportional to 937.04, 1,293.76 and 762.80

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Solution

The fourth proportional to 937.04, 1,293.76 and 762.80 is: 1,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.04 : 1,293.76 = 762.80 : x
  2. Step 2: Convert to fraction form
    937.04/1,293.76 = 762.80/x
  3. Step 3: Cross multiply
    937.04x = 1,293.76 × 762.80
  4. Step 4: Simplify right side
    937.04x = 986,880.13
  5. Step 5: Solve for x
    x = 986,880.13/937.04
  6. Step 6: Final answer
    x = 1,053.19

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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.