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Finding the Fourth Proportional to 1,342.02, 1,853.75 and 988.66

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Solution

The fourth proportional to 1,342.02, 1,853.75 and 988.66 is: 1,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.02 : 1,853.75 = 988.66 : x
  2. Step 2: Convert to fraction form
    1,342.02/1,853.75 = 988.66/x
  3. Step 3: Cross multiply
    1,342.02x = 1,853.75 × 988.66
  4. Step 4: Simplify right side
    1,342.02x = 1,832,728.48
  5. Step 5: Solve for x
    x = 1,832,728.48/1,342.02
  6. Step 6: Final answer
    x = 1,365.65

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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.