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Finding the Fourth Proportional to 1,327.39, 1,830.60 and 907.00

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Solution

The fourth proportional to 1,327.39, 1,830.60 and 907.00 is: 1,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.39 : 1,830.60 = 907.00 : x
  2. Step 2: Convert to fraction form
    1,327.39/1,830.60 = 907.00/x
  3. Step 3: Cross multiply
    1,327.39x = 1,830.60 × 907.00
  4. Step 4: Simplify right side
    1,327.39x = 1,660,349.62
  5. Step 5: Solve for x
    x = 1,660,349.62/1,327.39
  6. Step 6: Final answer
    x = 1,250.84

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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.