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Finding the Fourth Proportional to 614.96, 848.57 and 349.37

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Solution

The fourth proportional to 614.96, 848.57 and 349.37 is: 482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.96 : 848.57 = 349.37 : x
  2. Step 2: Convert to fraction form
    614.96/848.57 = 349.37/x
  3. Step 3: Cross multiply
    614.96x = 848.57 × 349.37
  4. Step 4: Simplify right side
    614.96x = 296,463.40
  5. Step 5: Solve for x
    x = 296,463.40/614.96
  6. Step 6: Final answer
    x = 482.08

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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.