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Finding the Fourth Proportional to 622.26, 926.70 and 585

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Solution

The fourth proportional to 622.26, 926.70 and 585 is: 871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 926.70 = 585 : x
  2. Step 2: Convert to fraction form
    622.26/926.70 = 585/x
  3. Step 3: Cross multiply
    622.26x = 926.70 × 585
  4. Step 4: Simplify right side
    622.26x = 542,119.50
  5. Step 5: Solve for x
    x = 542,119.50/622.26
  6. Step 6: Final answer
    x = 871.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.