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Finding the Fourth Proportional to 574.49, 859.77 and 366.15

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Solution

The fourth proportional to 574.49, 859.77 and 366.15 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.49 : 859.77 = 366.15 : x
  2. Step 2: Convert to fraction form
    574.49/859.77 = 366.15/x
  3. Step 3: Cross multiply
    574.49x = 859.77 × 366.15
  4. Step 4: Simplify right side
    574.49x = 314,804.79
  5. Step 5: Solve for x
    x = 314,804.79/574.49
  6. Step 6: Final answer
    x = 547.98

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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.