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Finding the Fourth Proportional to 572.45, 858.25 and 284.09

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Solution

The fourth proportional to 572.45, 858.25 and 284.09 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.45 : 858.25 = 284.09 : x
  2. Step 2: Convert to fraction form
    572.45/858.25 = 284.09/x
  3. Step 3: Cross multiply
    572.45x = 858.25 × 284.09
  4. Step 4: Simplify right side
    572.45x = 243,822.74
  5. Step 5: Solve for x
    x = 243,822.74/572.45
  6. Step 6: Final answer
    x = 425.93

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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.