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Finding the Fourth Proportional to 469.72, 703.48 and 253

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Solution

The fourth proportional to 469.72, 703.48 and 253 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 703.48 = 253 : x
  2. Step 2: Convert to fraction form
    469.72/703.48 = 253/x
  3. Step 3: Cross multiply
    469.72x = 703.48 × 253
  4. Step 4: Simplify right side
    469.72x = 177,980.44
  5. Step 5: Solve for x
    x = 177,980.44/469.72
  6. Step 6: Final answer
    x = 378.91

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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.