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Finding the Fourth Proportional to 621.14, 930.02 and 438.08

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Solution

The fourth proportional to 621.14, 930.02 and 438.08 is: 655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.14 : 930.02 = 438.08 : x
  2. Step 2: Convert to fraction form
    621.14/930.02 = 438.08/x
  3. Step 3: Cross multiply
    621.14x = 930.02 × 438.08
  4. Step 4: Simplify right side
    621.14x = 407,416.32
  5. Step 5: Solve for x
    x = 407,416.32/621.14
  6. Step 6: Final answer
    x = 655.92

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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.