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Finding the Fourth Proportional to 505.56, 698.02 and 381.48

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Solution

The fourth proportional to 505.56, 698.02 and 381.48 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 698.02 = 381.48 : x
  2. Step 2: Convert to fraction form
    505.56/698.02 = 381.48/x
  3. Step 3: Cross multiply
    505.56x = 698.02 × 381.48
  4. Step 4: Simplify right side
    505.56x = 266,280.67
  5. Step 5: Solve for x
    x = 266,280.67/505.56
  6. Step 6: Final answer
    x = 526.70

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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.