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Finding the Fourth Proportional to 555.68, 832.26 and 338.78

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Solution

The fourth proportional to 555.68, 832.26 and 338.78 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.68 : 832.26 = 338.78 : x
  2. Step 2: Convert to fraction form
    555.68/832.26 = 338.78/x
  3. Step 3: Cross multiply
    555.68x = 832.26 × 338.78
  4. Step 4: Simplify right side
    555.68x = 281,953.04
  5. Step 5: Solve for x
    x = 281,953.04/555.68
  6. Step 6: Final answer
    x = 507.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.