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Finding the Fourth Proportional to 501.16, 748.69 and 419.14

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Solution

The fourth proportional to 501.16, 748.69 and 419.14 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.16 : 748.69 = 419.14 : x
  2. Step 2: Convert to fraction form
    501.16/748.69 = 419.14/x
  3. Step 3: Cross multiply
    501.16x = 748.69 × 419.14
  4. Step 4: Simplify right side
    501.16x = 313,805.93
  5. Step 5: Solve for x
    x = 313,805.93/501.16
  6. Step 6: Final answer
    x = 626.16

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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.