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Finding the Fourth Proportional to 1,331.95, 1,838.27 and 765.00

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Solution

The fourth proportional to 1,331.95, 1,838.27 and 765.00 is: 1,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.95 : 1,838.27 = 765.00 : x
  2. Step 2: Convert to fraction form
    1,331.95/1,838.27 = 765.00/x
  3. Step 3: Cross multiply
    1,331.95x = 1,838.27 × 765.00
  4. Step 4: Simplify right side
    1,331.95x = 1,406,278.25
  5. Step 5: Solve for x
    x = 1,406,278.25/1,331.95
  6. Step 6: Final answer
    x = 1,055.80

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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.