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Finding the Fourth Proportional to 913.54, 1,259.94 and 763.60

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Solution

The fourth proportional to 913.54, 1,259.94 and 763.60 is: 1,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.54 : 1,259.94 = 763.60 : x
  2. Step 2: Convert to fraction form
    913.54/1,259.94 = 763.60/x
  3. Step 3: Cross multiply
    913.54x = 1,259.94 × 763.60
  4. Step 4: Simplify right side
    913.54x = 962,090.18
  5. Step 5: Solve for x
    x = 962,090.18/913.54
  6. Step 6: Final answer
    x = 1,053.15

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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.