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Finding the Fourth Proportional to 526.08, 790.08 and 381.12

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Solution

The fourth proportional to 526.08, 790.08 and 381.12 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 790.08 = 381.12 : x
  2. Step 2: Convert to fraction form
    526.08/790.08 = 381.12/x
  3. Step 3: Cross multiply
    526.08x = 790.08 × 381.12
  4. Step 4: Simplify right side
    526.08x = 301,115.29
  5. Step 5: Solve for x
    x = 301,115.29/526.08
  6. Step 6: Final answer
    x = 572.38

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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.