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Finding the Fourth Proportional to 614.69, 848.25 and 334.91

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Solution

The fourth proportional to 614.69, 848.25 and 334.91 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 848.25 = 334.91 : x
  2. Step 2: Convert to fraction form
    614.69/848.25 = 334.91/x
  3. Step 3: Cross multiply
    614.69x = 848.25 × 334.91
  4. Step 4: Simplify right side
    614.69x = 284,087.41
  5. Step 5: Solve for x
    x = 284,087.41/614.69
  6. Step 6: Final answer
    x = 462.16

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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.