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Finding the Fourth Proportional to 573.27, 859.47 and 284.91

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Solution

The fourth proportional to 573.27, 859.47 and 284.91 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.27 : 859.47 = 284.91 : x
  2. Step 2: Convert to fraction form
    573.27/859.47 = 284.91/x
  3. Step 3: Cross multiply
    573.27x = 859.47 × 284.91
  4. Step 4: Simplify right side
    573.27x = 244,871.60
  5. Step 5: Solve for x
    x = 244,871.60/573.27
  6. Step 6: Final answer
    x = 427.15

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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.