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Finding the Fourth Proportional to 526.90, 790.38 and 295.61

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Solution

The fourth proportional to 526.90, 790.38 and 295.61 is: 443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.90 : 790.38 = 295.61 : x
  2. Step 2: Convert to fraction form
    526.90/790.38 = 295.61/x
  3. Step 3: Cross multiply
    526.90x = 790.38 × 295.61
  4. Step 4: Simplify right side
    526.90x = 233,638.80
  5. Step 5: Solve for x
    x = 233,638.80/526.90
  6. Step 6: Final answer
    x = 443.43

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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.