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Finding the Fourth Proportional to 780.13, 1,168.75 and 394.93

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Solution

The fourth proportional to 780.13, 1,168.75 and 394.93 is: 591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.13 : 1,168.75 = 394.93 : x
  2. Step 2: Convert to fraction form
    780.13/1,168.75 = 394.93/x
  3. Step 3: Cross multiply
    780.13x = 1,168.75 × 394.93
  4. Step 4: Simplify right side
    780.13x = 461,574.44
  5. Step 5: Solve for x
    x = 461,574.44/780.13
  6. Step 6: Final answer
    x = 591.66

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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.