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Finding the Fourth Proportional to 907.06, 1,251.78 and 783.10

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Solution

The fourth proportional to 907.06, 1,251.78 and 783.10 is: 1,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.06 : 1,251.78 = 783.10 : x
  2. Step 2: Convert to fraction form
    907.06/1,251.78 = 783.10/x
  3. Step 3: Cross multiply
    907.06x = 1,251.78 × 783.10
  4. Step 4: Simplify right side
    907.06x = 980,268.92
  5. Step 5: Solve for x
    x = 980,268.92/907.06
  6. Step 6: Final answer
    x = 1,080.71

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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.