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Finding the Fourth Proportional to 648.75, 895.14 and 438.96

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Solution

The fourth proportional to 648.75, 895.14 and 438.96 is: 605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 895.14 = 438.96 : x
  2. Step 2: Convert to fraction form
    648.75/895.14 = 438.96/x
  3. Step 3: Cross multiply
    648.75x = 895.14 × 438.96
  4. Step 4: Simplify right side
    648.75x = 392,930.65
  5. Step 5: Solve for x
    x = 392,930.65/648.75
  6. Step 6: Final answer
    x = 605.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.