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Finding the Fourth Proportional to 501.44, 755.76 and 474.56

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Solution

The fourth proportional to 501.44, 755.76 and 474.56 is: 715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 755.76 = 474.56 : x
  2. Step 2: Convert to fraction form
    501.44/755.76 = 474.56/x
  3. Step 3: Cross multiply
    501.44x = 755.76 × 474.56
  4. Step 4: Simplify right side
    501.44x = 358,653.47
  5. Step 5: Solve for x
    x = 358,653.47/501.44
  6. Step 6: Final answer
    x = 715.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.