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Finding the Fourth Proportional to 1,008.93, 1,513.57 and 315.46

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Solution

The fourth proportional to 1,008.93, 1,513.57 and 315.46 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.93 : 1,513.57 = 315.46 : x
  2. Step 2: Convert to fraction form
    1,008.93/1,513.57 = 315.46/x
  3. Step 3: Cross multiply
    1,008.93x = 1,513.57 × 315.46
  4. Step 4: Simplify right side
    1,008.93x = 477,470.79
  5. Step 5: Solve for x
    x = 477,470.79/1,008.93
  6. Step 6: Final answer
    x = 473.24

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1.5x scale

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.