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Finding the Fourth Proportional to 840.02, 1,161.81 and 752.66

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Solution

The fourth proportional to 840.02, 1,161.81 and 752.66 is: 1,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.02 : 1,161.81 = 752.66 : x
  2. Step 2: Convert to fraction form
    840.02/1,161.81 = 752.66/x
  3. Step 3: Cross multiply
    840.02x = 1,161.81 × 752.66
  4. Step 4: Simplify right side
    840.02x = 874,447.91
  5. Step 5: Solve for x
    x = 874,447.91/840.02
  6. Step 6: Final answer
    x = 1,040.98

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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.