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Finding the Fourth Proportional to 858.07, 1,189.12 and 841.66

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Solution

The fourth proportional to 858.07, 1,189.12 and 841.66 is: 1,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.07 : 1,189.12 = 841.66 : x
  2. Step 2: Convert to fraction form
    858.07/1,189.12 = 841.66/x
  3. Step 3: Cross multiply
    858.07x = 1,189.12 × 841.66
  4. Step 4: Simplify right side
    858.07x = 1,000,834.74
  5. Step 5: Solve for x
    x = 1,000,834.74/858.07
  6. Step 6: Final answer
    x = 1,166.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.