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Finding the Fourth Proportional to 894.40, 1,340.88 and 638.08

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Solution

The fourth proportional to 894.40, 1,340.88 and 638.08 is: 956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,340.88 = 638.08 : x
  2. Step 2: Convert to fraction form
    894.40/1,340.88 = 638.08/x
  3. Step 3: Cross multiply
    894.40x = 1,340.88 × 638.08
  4. Step 4: Simplify right side
    894.40x = 855,588.71
  5. Step 5: Solve for x
    x = 855,588.71/894.40
  6. Step 6: Final answer
    x = 956.61

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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.