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Finding the Fourth Proportional to 1,043.05, 1,437.75 and 821.62

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Solution

The fourth proportional to 1,043.05, 1,437.75 and 821.62 is: 1,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.05 : 1,437.75 = 821.62 : x
  2. Step 2: Convert to fraction form
    1,043.05/1,437.75 = 821.62/x
  3. Step 3: Cross multiply
    1,043.05x = 1,437.75 × 821.62
  4. Step 4: Simplify right side
    1,043.05x = 1,181,284.16
  5. Step 5: Solve for x
    x = 1,181,284.16/1,043.05
  6. Step 6: Final answer
    x = 1,132.53

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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.