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Finding the Fourth Proportional to 569.05, 784.91 and 348.12

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Solution

The fourth proportional to 569.05, 784.91 and 348.12 is: 480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 784.91 = 348.12 : x
  2. Step 2: Convert to fraction form
    569.05/784.91 = 348.12/x
  3. Step 3: Cross multiply
    569.05x = 784.91 × 348.12
  4. Step 4: Simplify right side
    569.05x = 273,243.74
  5. Step 5: Solve for x
    x = 273,243.74/569.05
  6. Step 6: Final answer
    x = 480.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.