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Finding the Fourth Proportional to 1,042.50, 1,439.64 and 821.06

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Solution

The fourth proportional to 1,042.50, 1,439.64 and 821.06 is: 1,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.50 : 1,439.64 = 821.06 : x
  2. Step 2: Convert to fraction form
    1,042.50/1,439.64 = 821.06/x
  3. Step 3: Cross multiply
    1,042.50x = 1,439.64 × 821.06
  4. Step 4: Simplify right side
    1,042.50x = 1,182,030.82
  5. Step 5: Solve for x
    x = 1,182,030.82/1,042.50
  6. Step 6: Final answer
    x = 1,133.84

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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.