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Finding the Fourth Proportional to 924.06, 1,380.27 and 778.26

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Solution

The fourth proportional to 924.06, 1,380.27 and 778.26 is: 1,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.06 : 1,380.27 = 778.26 : x
  2. Step 2: Convert to fraction form
    924.06/1,380.27 = 778.26/x
  3. Step 3: Cross multiply
    924.06x = 1,380.27 × 778.26
  4. Step 4: Simplify right side
    924.06x = 1,074,208.93
  5. Step 5: Solve for x
    x = 1,074,208.93/924.06
  6. Step 6: Final answer
    x = 1,162.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.