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Finding the Fourth Proportional to 858.08, 1,278.69 and 830.18

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Solution

The fourth proportional to 858.08, 1,278.69 and 830.18 is: 1,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.08 : 1,278.69 = 830.18 : x
  2. Step 2: Convert to fraction form
    858.08/1,278.69 = 830.18/x
  3. Step 3: Cross multiply
    858.08x = 1,278.69 × 830.18
  4. Step 4: Simplify right side
    858.08x = 1,061,542.86
  5. Step 5: Solve for x
    x = 1,061,542.86/858.08
  6. Step 6: Final answer
    x = 1,237.11

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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.