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Finding the Fourth Proportional to 570.36, 855.84 and 278.19

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Solution

The fourth proportional to 570.36, 855.84 and 278.19 is: 417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.36 : 855.84 = 278.19 : x
  2. Step 2: Convert to fraction form
    570.36/855.84 = 278.19/x
  3. Step 3: Cross multiply
    570.36x = 855.84 × 278.19
  4. Step 4: Simplify right side
    570.36x = 238,086.13
  5. Step 5: Solve for x
    x = 238,086.13/570.36
  6. Step 6: Final answer
    x = 417.43

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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.