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Finding the Fourth Proportional to 624.30, 934.64 and 363.51

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Solution

The fourth proportional to 624.30, 934.64 and 363.51 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 934.64 = 363.51 : x
  2. Step 2: Convert to fraction form
    624.30/934.64 = 363.51/x
  3. Step 3: Cross multiply
    624.30x = 934.64 × 363.51
  4. Step 4: Simplify right side
    624.30x = 339,750.99
  5. Step 5: Solve for x
    x = 339,750.99/624.30
  6. Step 6: Final answer
    x = 544.21

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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.