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Finding the Fourth Proportional to 1,110.88, 1,532.89 and 690.63

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Solution

The fourth proportional to 1,110.88, 1,532.89 and 690.63 is: 952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.88 : 1,532.89 = 690.63 : x
  2. Step 2: Convert to fraction form
    1,110.88/1,532.89 = 690.63/x
  3. Step 3: Cross multiply
    1,110.88x = 1,532.89 × 690.63
  4. Step 4: Simplify right side
    1,110.88x = 1,058,659.82
  5. Step 5: Solve for x
    x = 1,058,659.82/1,110.88
  6. Step 6: Final answer
    x = 952.99

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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.