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Finding the Fourth Proportional to 943.28, 1,415.57 and 388.10

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Solution

The fourth proportional to 943.28, 1,415.57 and 388.10 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.28 : 1,415.57 = 388.10 : x
  2. Step 2: Convert to fraction form
    943.28/1,415.57 = 388.10/x
  3. Step 3: Cross multiply
    943.28x = 1,415.57 × 388.10
  4. Step 4: Simplify right side
    943.28x = 549,373.70
  5. Step 5: Solve for x
    x = 549,373.70/943.28
  6. Step 6: Final answer
    x = 582.41

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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.