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Finding the Fourth Proportional to 614.64, 848.36 and 381.63

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Solution

The fourth proportional to 614.64, 848.36 and 381.63 is: 526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 848.36 = 381.63 : x
  2. Step 2: Convert to fraction form
    614.64/848.36 = 381.63/x
  3. Step 3: Cross multiply
    614.64x = 848.36 × 381.63
  4. Step 4: Simplify right side
    614.64x = 323,759.63
  5. Step 5: Solve for x
    x = 323,759.63/614.64
  6. Step 6: Final answer
    x = 526.75

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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.