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Finding the Fourth Proportional to 1,054.05, 1,580.18 and 744.93

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Solution

The fourth proportional to 1,054.05, 1,580.18 and 744.93 is: 1,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.05 : 1,580.18 = 744.93 : x
  2. Step 2: Convert to fraction form
    1,054.05/1,580.18 = 744.93/x
  3. Step 3: Cross multiply
    1,054.05x = 1,580.18 × 744.93
  4. Step 4: Simplify right side
    1,054.05x = 1,177,119.76
  5. Step 5: Solve for x
    x = 1,177,119.76/1,054.05
  6. Step 6: Final answer
    x = 1,116.76

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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.