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Finding the Fourth Proportional to 614.91, 848.61 and 353.01

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Solution

The fourth proportional to 614.91, 848.61 and 353.01 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.91 : 848.61 = 353.01 : x
  2. Step 2: Convert to fraction form
    614.91/848.61 = 353.01/x
  3. Step 3: Cross multiply
    614.91x = 848.61 × 353.01
  4. Step 4: Simplify right side
    614.91x = 299,566.05
  5. Step 5: Solve for x
    x = 299,566.05/614.91
  6. Step 6: Final answer
    x = 487.17

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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.