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Finding the Fourth Proportional to 586.96, 809.88 and 397.97

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Solution

The fourth proportional to 586.96, 809.88 and 397.97 is: 549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.96 : 809.88 = 397.97 : x
  2. Step 2: Convert to fraction form
    586.96/809.88 = 397.97/x
  3. Step 3: Cross multiply
    586.96x = 809.88 × 397.97
  4. Step 4: Simplify right side
    586.96x = 322,310.96
  5. Step 5: Solve for x
    x = 322,310.96/586.96
  6. Step 6: Final answer
    x = 549.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.