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Finding the Fourth Proportional to 1,014.44, 1,521.65 and 284.07

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Solution

The fourth proportional to 1,014.44, 1,521.65 and 284.07 is: 426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.44 : 1,521.65 = 284.07 : x
  2. Step 2: Convert to fraction form
    1,014.44/1,521.65 = 284.07/x
  3. Step 3: Cross multiply
    1,014.44x = 1,521.65 × 284.07
  4. Step 4: Simplify right side
    1,014.44x = 432,261.53
  5. Step 5: Solve for x
    x = 432,261.53/1,014.44
  6. Step 6: Final answer
    x = 426.11

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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.