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Finding the Fourth Proportional to 653.25, 901.61 and 387.75

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Solution

The fourth proportional to 653.25, 901.61 and 387.75 is: 535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 901.61 = 387.75 : x
  2. Step 2: Convert to fraction form
    653.25/901.61 = 387.75/x
  3. Step 3: Cross multiply
    653.25x = 901.61 × 387.75
  4. Step 4: Simplify right side
    653.25x = 349,599.28
  5. Step 5: Solve for x
    x = 349,599.28/653.25
  6. Step 6: Final answer
    x = 535.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.