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Finding the Fourth Proportional to 894.12, 1,234.17 and 545.10

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Solution

The fourth proportional to 894.12, 1,234.17 and 545.10 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.12 : 1,234.17 = 545.10 : x
  2. Step 2: Convert to fraction form
    894.12/1,234.17 = 545.10/x
  3. Step 3: Cross multiply
    894.12x = 1,234.17 × 545.10
  4. Step 4: Simplify right side
    894.12x = 672,746.07
  5. Step 5: Solve for x
    x = 672,746.07/894.12
  6. Step 6: Final answer
    x = 752.41

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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.