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Finding the Fourth Proportional to 573.84, 860.14 and 420.42

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Solution

The fourth proportional to 573.84, 860.14 and 420.42 is: 630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 860.14 = 420.42 : x
  2. Step 2: Convert to fraction form
    573.84/860.14 = 420.42/x
  3. Step 3: Cross multiply
    573.84x = 860.14 × 420.42
  4. Step 4: Simplify right side
    573.84x = 361,620.06
  5. Step 5: Solve for x
    x = 361,620.06/573.84
  6. Step 6: Final answer
    x = 630.18

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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.