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Finding the Fourth Proportional to 608.79, 840.10 and 346.82

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Solution

The fourth proportional to 608.79, 840.10 and 346.82 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.79 : 840.10 = 346.82 : x
  2. Step 2: Convert to fraction form
    608.79/840.10 = 346.82/x
  3. Step 3: Cross multiply
    608.79x = 840.10 × 346.82
  4. Step 4: Simplify right side
    608.79x = 291,363.48
  5. Step 5: Solve for x
    x = 291,363.48/608.79
  6. Step 6: Final answer
    x = 478.59

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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.