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Finding the Fourth Proportional to 614.63, 848.23 and 381.80

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Solution

The fourth proportional to 614.63, 848.23 and 381.80 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 848.23 = 381.80 : x
  2. Step 2: Convert to fraction form
    614.63/848.23 = 381.80/x
  3. Step 3: Cross multiply
    614.63x = 848.23 × 381.80
  4. Step 4: Simplify right side
    614.63x = 323,849.02
  5. Step 5: Solve for x
    x = 323,849.02/614.63
  6. Step 6: Final answer
    x = 526.91

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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.