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Finding the Fourth Proportional to 780.36, 1,168.77 and 368.61

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Solution

The fourth proportional to 780.36, 1,168.77 and 368.61 is: 552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.36 : 1,168.77 = 368.61 : x
  2. Step 2: Convert to fraction form
    780.36/1,168.77 = 368.61/x
  3. Step 3: Cross multiply
    780.36x = 1,168.77 × 368.61
  4. Step 4: Simplify right side
    780.36x = 430,820.31
  5. Step 5: Solve for x
    x = 430,820.31/780.36
  6. Step 6: Final answer
    x = 552.08

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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.