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Finding the Fourth Proportional to 864.93, 1,186.53 and 843.06

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Solution

The fourth proportional to 864.93, 1,186.53 and 843.06 is: 1,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.93 : 1,186.53 = 843.06 : x
  2. Step 2: Convert to fraction form
    864.93/1,186.53 = 843.06/x
  3. Step 3: Cross multiply
    864.93x = 1,186.53 × 843.06
  4. Step 4: Simplify right side
    864.93x = 1,000,315.98
  5. Step 5: Solve for x
    x = 1,000,315.98/864.93
  6. Step 6: Final answer
    x = 1,156.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.