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Finding the Fourth Proportional to 858.43, 1,292.29 and 781.89

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Solution

The fourth proportional to 858.43, 1,292.29 and 781.89 is: 1,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.43 : 1,292.29 = 781.89 : x
  2. Step 2: Convert to fraction form
    858.43/1,292.29 = 781.89/x
  3. Step 3: Cross multiply
    858.43x = 1,292.29 × 781.89
  4. Step 4: Simplify right side
    858.43x = 1,010,421.83
  5. Step 5: Solve for x
    x = 1,010,421.83/858.43
  6. Step 6: Final answer
    x = 1,177.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.