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Finding the Fourth Proportional to 435.78, 653.76 and 175.86

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Solution

The fourth proportional to 435.78, 653.76 and 175.86 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.78 : 653.76 = 175.86 : x
  2. Step 2: Convert to fraction form
    435.78/653.76 = 175.86/x
  3. Step 3: Cross multiply
    435.78x = 653.76 × 175.86
  4. Step 4: Simplify right side
    435.78x = 114,970.23
  5. Step 5: Solve for x
    x = 114,970.23/435.78
  6. Step 6: Final answer
    x = 263.83

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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.