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Finding the Fourth Proportional to 624.60, 930.94 and 559.67

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Solution

The fourth proportional to 624.60, 930.94 and 559.67 is: 834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 930.94 = 559.67 : x
  2. Step 2: Convert to fraction form
    624.60/930.94 = 559.67/x
  3. Step 3: Cross multiply
    624.60x = 930.94 × 559.67
  4. Step 4: Simplify right side
    624.60x = 521,013.14
  5. Step 5: Solve for x
    x = 521,013.14/624.60
  6. Step 6: Final answer
    x = 834.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.