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Finding the Fourth Proportional to 614.63, 848.17 and 334.87

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Solution

The fourth proportional to 614.63, 848.17 and 334.87 is: 462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 848.17 = 334.87 : x
  2. Step 2: Convert to fraction form
    614.63/848.17 = 334.87/x
  3. Step 3: Cross multiply
    614.63x = 848.17 × 334.87
  4. Step 4: Simplify right side
    614.63x = 284,022.89
  5. Step 5: Solve for x
    x = 284,022.89/614.63
  6. Step 6: Final answer
    x = 462.10

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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.