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Finding the Fourth Proportional to 614.97, 848.79 and 405.16

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Solution

The fourth proportional to 614.97, 848.79 and 405.16 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.97 : 848.79 = 405.16 : x
  2. Step 2: Convert to fraction form
    614.97/848.79 = 405.16/x
  3. Step 3: Cross multiply
    614.97x = 848.79 × 405.16
  4. Step 4: Simplify right side
    614.97x = 343,893.63
  5. Step 5: Solve for x
    x = 343,893.63/614.97
  6. Step 6: Final answer
    x = 559.20

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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.