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Finding the Fourth Proportional to 1,320.77, 1,822.70 and 731.33

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Solution

The fourth proportional to 1,320.77, 1,822.70 and 731.33 is: 1,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.77 : 1,822.70 = 731.33 : x
  2. Step 2: Convert to fraction form
    1,320.77/1,822.70 = 731.33/x
  3. Step 3: Cross multiply
    1,320.77x = 1,822.70 × 731.33
  4. Step 4: Simplify right side
    1,320.77x = 1,332,994.74
  5. Step 5: Solve for x
    x = 1,332,994.74/1,320.77
  6. Step 6: Final answer
    x = 1,009.25

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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.