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Finding the Fourth Proportional to 1,110.56, 1,666.28 and 493.84

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Solution

The fourth proportional to 1,110.56, 1,666.28 and 493.84 is: 740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.56 : 1,666.28 = 493.84 : x
  2. Step 2: Convert to fraction form
    1,110.56/1,666.28 = 493.84/x
  3. Step 3: Cross multiply
    1,110.56x = 1,666.28 × 493.84
  4. Step 4: Simplify right side
    1,110.56x = 822,875.72
  5. Step 5: Solve for x
    x = 822,875.72/1,110.56
  6. Step 6: Final answer
    x = 740.96

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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.