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Finding the Fourth Proportional to 573.84, 860.88 and 369.84

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Solution

The fourth proportional to 573.84, 860.88 and 369.84 is: 554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 860.88 = 369.84 : x
  2. Step 2: Convert to fraction form
    573.84/860.88 = 369.84/x
  3. Step 3: Cross multiply
    573.84x = 860.88 × 369.84
  4. Step 4: Simplify right side
    573.84x = 318,387.86
  5. Step 5: Solve for x
    x = 318,387.86/573.84
  6. Step 6: Final answer
    x = 554.84

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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.