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Finding the Fourth Proportional to 1,455.90, 2,009.16 and 826.41

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Solution

The fourth proportional to 1,455.90, 2,009.16 and 826.41 is: 1,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.90 : 2,009.16 = 826.41 : x
  2. Step 2: Convert to fraction form
    1,455.90/2,009.16 = 826.41/x
  3. Step 3: Cross multiply
    1,455.90x = 2,009.16 × 826.41
  4. Step 4: Simplify right side
    1,455.90x = 1,660,385.78
  5. Step 5: Solve for x
    x = 1,660,385.78/1,455.90
  6. Step 6: Final answer
    x = 1,140.45

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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.