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Finding the Fourth Proportional to 508.48, 700.55 and 381.88

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Solution

The fourth proportional to 508.48, 700.55 and 381.88 is: 526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 700.55 = 381.88 : x
  2. Step 2: Convert to fraction form
    508.48/700.55 = 381.88/x
  3. Step 3: Cross multiply
    508.48x = 700.55 × 381.88
  4. Step 4: Simplify right side
    508.48x = 267,526.43
  5. Step 5: Solve for x
    x = 267,526.43/508.48
  6. Step 6: Final answer
    x = 526.13

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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.