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Finding the Fourth Proportional to 1,320.84, 1,822.50 and 761.13

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Solution

The fourth proportional to 1,320.84, 1,822.50 and 761.13 is: 1,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.84 : 1,822.50 = 761.13 : x
  2. Step 2: Convert to fraction form
    1,320.84/1,822.50 = 761.13/x
  3. Step 3: Cross multiply
    1,320.84x = 1,822.50 × 761.13
  4. Step 4: Simplify right side
    1,320.84x = 1,387,159.43
  5. Step 5: Solve for x
    x = 1,387,159.43/1,320.84
  6. Step 6: Final answer
    x = 1,050.21

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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.