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Finding the Fourth Proportional to 1,228.42, 1,842.75 and 578.98

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Solution

The fourth proportional to 1,228.42, 1,842.75 and 578.98 is: 868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.42 : 1,842.75 = 578.98 : x
  2. Step 2: Convert to fraction form
    1,228.42/1,842.75 = 578.98/x
  3. Step 3: Cross multiply
    1,228.42x = 1,842.75 × 578.98
  4. Step 4: Simplify right side
    1,228.42x = 1,066,915.40
  5. Step 5: Solve for x
    x = 1,066,915.40/1,228.42
  6. Step 6: Final answer
    x = 868.53

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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.