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Finding the Fourth Proportional to 573.19, 859.75 and 284.63

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Solution

The fourth proportional to 573.19, 859.75 and 284.63 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 859.75 = 284.63 : x
  2. Step 2: Convert to fraction form
    573.19/859.75 = 284.63/x
  3. Step 3: Cross multiply
    573.19x = 859.75 × 284.63
  4. Step 4: Simplify right side
    573.19x = 244,709.22
  5. Step 5: Solve for x
    x = 244,709.22/573.19
  6. Step 6: Final answer
    x = 426.93

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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.