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Finding the Fourth Proportional to 1,320.56, 1,822.10 and 761.02

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Solution

The fourth proportional to 1,320.56, 1,822.10 and 761.02 is: 1,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.56 : 1,822.10 = 761.02 : x
  2. Step 2: Convert to fraction form
    1,320.56/1,822.10 = 761.02/x
  3. Step 3: Cross multiply
    1,320.56x = 1,822.10 × 761.02
  4. Step 4: Simplify right side
    1,320.56x = 1,386,654.54
  5. Step 5: Solve for x
    x = 1,386,654.54/1,320.56
  6. Step 6: Final answer
    x = 1,050.05

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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.