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Finding the Fourth Proportional to 1,115.07, 1,667.64 and 992.55

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Solution

The fourth proportional to 1,115.07, 1,667.64 and 992.55 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.07 : 1,667.64 = 992.55 : x
  2. Step 2: Convert to fraction form
    1,115.07/1,667.64 = 992.55/x
  3. Step 3: Cross multiply
    1,115.07x = 1,667.64 × 992.55
  4. Step 4: Simplify right side
    1,115.07x = 1,655,220.47
  5. Step 5: Solve for x
    x = 1,655,220.47/1,115.07
  6. Step 6: Final answer
    x = 1,484.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.