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Finding the Fourth Proportional to 608.96, 840 and 392.96

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Solution

The fourth proportional to 608.96, 840 and 392.96 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 840 = 392.96 : x
  2. Step 2: Convert to fraction form
    608.96/840 = 392.96/x
  3. Step 3: Cross multiply
    608.96x = 840 × 392.96
  4. Step 4: Simplify right side
    608.96x = 330,086.40
  5. Step 5: Solve for x
    x = 330,086.40/608.96
  6. Step 6: Final answer
    x = 542.05

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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.