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Finding the Fourth Proportional to 859.18, 1,186.15 and 594.01

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Solution

The fourth proportional to 859.18, 1,186.15 and 594.01 is: 820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.18 : 1,186.15 = 594.01 : x
  2. Step 2: Convert to fraction form
    859.18/1,186.15 = 594.01/x
  3. Step 3: Cross multiply
    859.18x = 1,186.15 × 594.01
  4. Step 4: Simplify right side
    859.18x = 704,577.55
  5. Step 5: Solve for x
    x = 704,577.55/859.18
  6. Step 6: Final answer
    x = 820.06

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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.