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Finding the Fourth Proportional to 501.28, 748.61 and 419.50

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Solution

The fourth proportional to 501.28, 748.61 and 419.50 is: 626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.28 : 748.61 = 419.50 : x
  2. Step 2: Convert to fraction form
    501.28/748.61 = 419.50/x
  3. Step 3: Cross multiply
    501.28x = 748.61 × 419.50
  4. Step 4: Simplify right side
    501.28x = 314,041.90
  5. Step 5: Solve for x
    x = 314,041.90/501.28
  6. Step 6: Final answer
    x = 626.48

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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.