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Finding the Fourth Proportional to 501.44, 748.09 and 478.24

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Solution

The fourth proportional to 501.44, 748.09 and 478.24 is: 713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 748.09 = 478.24 : x
  2. Step 2: Convert to fraction form
    501.44/748.09 = 478.24/x
  3. Step 3: Cross multiply
    501.44x = 748.09 × 478.24
  4. Step 4: Simplify right side
    501.44x = 357,766.56
  5. Step 5: Solve for x
    x = 357,766.56/501.44
  6. Step 6: Final answer
    x = 713.48

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.