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Finding the Fourth Proportional to 572.44, 858.25 and 407.91

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Solution

The fourth proportional to 572.44, 858.25 and 407.91 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.44 : 858.25 = 407.91 : x
  2. Step 2: Convert to fraction form
    572.44/858.25 = 407.91/x
  3. Step 3: Cross multiply
    572.44x = 858.25 × 407.91
  4. Step 4: Simplify right side
    572.44x = 350,086.05
  5. Step 5: Solve for x
    x = 350,086.05/572.44
  6. Step 6: Final answer
    x = 611.57

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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.