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Finding the Fourth Proportional to 608.67, 840.11 and 346.77

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Solution

The fourth proportional to 608.67, 840.11 and 346.77 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.67 : 840.11 = 346.77 : x
  2. Step 2: Convert to fraction form
    608.67/840.11 = 346.77/x
  3. Step 3: Cross multiply
    608.67x = 840.11 × 346.77
  4. Step 4: Simplify right side
    608.67x = 291,323.21
  5. Step 5: Solve for x
    x = 291,323.21/608.67
  6. Step 6: Final answer
    x = 478.62

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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.