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Finding the Fourth Proportional to 608.91, 840.21 and 346.89

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Solution

The fourth proportional to 608.91, 840.21 and 346.89 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.91 : 840.21 = 346.89 : x
  2. Step 2: Convert to fraction form
    608.91/840.21 = 346.89/x
  3. Step 3: Cross multiply
    608.91x = 840.21 × 346.89
  4. Step 4: Simplify right side
    608.91x = 291,460.45
  5. Step 5: Solve for x
    x = 291,460.45/608.91
  6. Step 6: Final answer
    x = 478.66

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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.