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Finding the Fourth Proportional to 1,042.91, 1,437.55 and 821.51

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Solution

The fourth proportional to 1,042.91, 1,437.55 and 821.51 is: 1,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.91 : 1,437.55 = 821.51 : x
  2. Step 2: Convert to fraction form
    1,042.91/1,437.55 = 821.51/x
  3. Step 3: Cross multiply
    1,042.91x = 1,437.55 × 821.51
  4. Step 4: Simplify right side
    1,042.91x = 1,180,954.51
  5. Step 5: Solve for x
    x = 1,180,954.51/1,042.91
  6. Step 6: Final answer
    x = 1,132.37

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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.