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Finding the Fourth Proportional to 1,054.05, 1,577.94 and 781.35

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Solution

The fourth proportional to 1,054.05, 1,577.94 and 781.35 is: 1,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.05 : 1,577.94 = 781.35 : x
  2. Step 2: Convert to fraction form
    1,054.05/1,577.94 = 781.35/x
  3. Step 3: Cross multiply
    1,054.05x = 1,577.94 × 781.35
  4. Step 4: Simplify right side
    1,054.05x = 1,232,923.42
  5. Step 5: Solve for x
    x = 1,232,923.42/1,054.05
  6. Step 6: Final answer
    x = 1,169.70

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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.