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Finding the Fourth Proportional to 864.34, 1,191.85 and 584.09

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Solution

The fourth proportional to 864.34, 1,191.85 and 584.09 is: 805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.34 : 1,191.85 = 584.09 : x
  2. Step 2: Convert to fraction form
    864.34/1,191.85 = 584.09/x
  3. Step 3: Cross multiply
    864.34x = 1,191.85 × 584.09
  4. Step 4: Simplify right side
    864.34x = 696,151.38
  5. Step 5: Solve for x
    x = 696,151.38/864.34
  6. Step 6: Final answer
    x = 805.41

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1.5x scale

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.