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Finding the Fourth Proportional to 586.35, 810.33 and 481.29

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Solution

The fourth proportional to 586.35, 810.33 and 481.29 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.35 : 810.33 = 481.29 : x
  2. Step 2: Convert to fraction form
    586.35/810.33 = 481.29/x
  3. Step 3: Cross multiply
    586.35x = 810.33 × 481.29
  4. Step 4: Simplify right side
    586.35x = 390,003.73
  5. Step 5: Solve for x
    x = 390,003.73/586.35
  6. Step 6: Final answer
    x = 665.14

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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.