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Finding the Fourth Proportional to 573.69, 859.24 and 442.77

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Solution

The fourth proportional to 573.69, 859.24 and 442.77 is: 663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.69 : 859.24 = 442.77 : x
  2. Step 2: Convert to fraction form
    573.69/859.24 = 442.77/x
  3. Step 3: Cross multiply
    573.69x = 859.24 × 442.77
  4. Step 4: Simplify right side
    573.69x = 380,447.86
  5. Step 5: Solve for x
    x = 380,447.86/573.69
  6. Step 6: Final answer
    x = 663.16

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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.