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Finding the Fourth Proportional to 614.77, 848.48 and 405.27

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Solution

The fourth proportional to 614.77, 848.48 and 405.27 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.77 : 848.48 = 405.27 : x
  2. Step 2: Convert to fraction form
    614.77/848.48 = 405.27/x
  3. Step 3: Cross multiply
    614.77x = 848.48 × 405.27
  4. Step 4: Simplify right side
    614.77x = 343,861.46
  5. Step 5: Solve for x
    x = 343,861.46/614.77
  6. Step 6: Final answer
    x = 559.33

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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.