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Finding the Fourth Proportional to 586.23, 808.23 and 481.20

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Solution

The fourth proportional to 586.23, 808.23 and 481.20 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.23 : 808.23 = 481.20 : x
  2. Step 2: Convert to fraction form
    586.23/808.23 = 481.20/x
  3. Step 3: Cross multiply
    586.23x = 808.23 × 481.20
  4. Step 4: Simplify right side
    586.23x = 388,920.28
  5. Step 5: Solve for x
    x = 388,920.28/586.23
  6. Step 6: Final answer
    x = 663.43

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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.