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Finding the Fourth Proportional to 614.94, 848.31 and 428.60

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Solution

The fourth proportional to 614.94, 848.31 and 428.60 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.94 : 848.31 = 428.60 : x
  2. Step 2: Convert to fraction form
    614.94/848.31 = 428.60/x
  3. Step 3: Cross multiply
    614.94x = 848.31 × 428.60
  4. Step 4: Simplify right side
    614.94x = 363,581.42
  5. Step 5: Solve for x
    x = 363,581.42/614.94
  6. Step 6: Final answer
    x = 591.25

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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.