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Finding the Fourth Proportional to 572.81, 858.81 and 408.29

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Solution

The fourth proportional to 572.81, 858.81 and 408.29 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.81 : 858.81 = 408.29 : x
  2. Step 2: Convert to fraction form
    572.81/858.81 = 408.29/x
  3. Step 3: Cross multiply
    572.81x = 858.81 × 408.29
  4. Step 4: Simplify right side
    572.81x = 350,639.24
  5. Step 5: Solve for x
    x = 350,639.24/572.81
  6. Step 6: Final answer
    x = 612.14

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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.