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Finding the Fourth Proportional to 614.64, 848.24 and 449.40

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Solution

The fourth proportional to 614.64, 848.24 and 449.40 is: 620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 848.24 = 449.40 : x
  2. Step 2: Convert to fraction form
    614.64/848.24 = 449.40/x
  3. Step 3: Cross multiply
    614.64x = 848.24 × 449.40
  4. Step 4: Simplify right side
    614.64x = 381,199.06
  5. Step 5: Solve for x
    x = 381,199.06/614.64
  6. Step 6: Final answer
    x = 620.20

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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.