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Finding the Fourth Proportional to 653.34, 901.33 and 478.38

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Solution

The fourth proportional to 653.34, 901.33 and 478.38 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.34 : 901.33 = 478.38 : x
  2. Step 2: Convert to fraction form
    653.34/901.33 = 478.38/x
  3. Step 3: Cross multiply
    653.34x = 901.33 × 478.38
  4. Step 4: Simplify right side
    653.34x = 431,178.25
  5. Step 5: Solve for x
    x = 431,178.25/653.34
  6. Step 6: Final answer
    x = 659.96

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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.