Home / 1,008.23-1,512.70-315.07

Finding the Fourth Proportional to 1,008.23, 1,512.70 and 315.07

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Solution

The fourth proportional to 1,008.23, 1,512.70 and 315.07 is: 472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.23 : 1,512.70 = 315.07 : x
  2. Step 2: Convert to fraction form
    1,008.23/1,512.70 = 315.07/x
  3. Step 3: Cross multiply
    1,008.23x = 1,512.70 × 315.07
  4. Step 4: Simplify right side
    1,008.23x = 476,611.21
  5. Step 5: Solve for x
    x = 476,611.21/1,008.23
  6. Step 6: Final answer
    x = 472.72

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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.