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Finding the Fourth Proportional to 1,008.94, 1,513.43 and 315.58

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Solution

The fourth proportional to 1,008.94, 1,513.43 and 315.58 is: 473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.94 : 1,513.43 = 315.58 : x
  2. Step 2: Convert to fraction form
    1,008.94/1,513.43 = 315.58/x
  3. Step 3: Cross multiply
    1,008.94x = 1,513.43 × 315.58
  4. Step 4: Simplify right side
    1,008.94x = 477,608.24
  5. Step 5: Solve for x
    x = 477,608.24/1,008.94
  6. Step 6: Final answer
    x = 473.38

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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.