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Finding the Fourth Proportional to 624.75, 934.83 and 389.67

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Solution

The fourth proportional to 624.75, 934.83 and 389.67 is: 583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 934.83 = 389.67 : x
  2. Step 2: Convert to fraction form
    624.75/934.83 = 389.67/x
  3. Step 3: Cross multiply
    624.75x = 934.83 × 389.67
  4. Step 4: Simplify right side
    624.75x = 364,275.21
  5. Step 5: Solve for x
    x = 364,275.21/624.75
  6. Step 6: Final answer
    x = 583.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.