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Finding the Fourth Proportional to 619.14, 929.14 and 457.22

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Solution

The fourth proportional to 619.14, 929.14 and 457.22 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 929.14 = 457.22 : x
  2. Step 2: Convert to fraction form
    619.14/929.14 = 457.22/x
  3. Step 3: Cross multiply
    619.14x = 929.14 × 457.22
  4. Step 4: Simplify right side
    619.14x = 424,821.39
  5. Step 5: Solve for x
    x = 424,821.39/619.14
  6. Step 6: Final answer
    x = 686.15

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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.