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Finding the Fourth Proportional to 894.12, 1,341.47 and 564.68

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Solution

The fourth proportional to 894.12, 1,341.47 and 564.68 is: 847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.12 : 1,341.47 = 564.68 : x
  2. Step 2: Convert to fraction form
    894.12/1,341.47 = 564.68/x
  3. Step 3: Cross multiply
    894.12x = 1,341.47 × 564.68
  4. Step 4: Simplify right side
    894.12x = 757,491.75
  5. Step 5: Solve for x
    x = 757,491.75/894.12
  6. Step 6: Final answer
    x = 847.19

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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.