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Finding the Fourth Proportional to 572.32, 857.33 and 263.74

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Solution

The fourth proportional to 572.32, 857.33 and 263.74 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.32 : 857.33 = 263.74 : x
  2. Step 2: Convert to fraction form
    572.32/857.33 = 263.74/x
  3. Step 3: Cross multiply
    572.32x = 857.33 × 263.74
  4. Step 4: Simplify right side
    572.32x = 226,112.21
  5. Step 5: Solve for x
    x = 226,112.21/572.32
  6. Step 6: Final answer
    x = 395.08

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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.