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Finding the Fourth Proportional to 622.18, 859.17 and 585.10

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Solution

The fourth proportional to 622.18, 859.17 and 585.10 is: 807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 859.17 = 585.10 : x
  2. Step 2: Convert to fraction form
    622.18/859.17 = 585.10/x
  3. Step 3: Cross multiply
    622.18x = 859.17 × 585.10
  4. Step 4: Simplify right side
    622.18x = 502,700.37
  5. Step 5: Solve for x
    x = 502,700.37/622.18
  6. Step 6: Final answer
    x = 807.97

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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.