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Finding the Fourth Proportional to 621.25, 929.99 and 414.16

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Solution

The fourth proportional to 621.25, 929.99 and 414.16 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.25 : 929.99 = 414.16 : x
  2. Step 2: Convert to fraction form
    621.25/929.99 = 414.16/x
  3. Step 3: Cross multiply
    621.25x = 929.99 × 414.16
  4. Step 4: Simplify right side
    621.25x = 385,162.59
  5. Step 5: Solve for x
    x = 385,162.59/621.25
  6. Step 6: Final answer
    x = 619.98

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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.