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Finding the Fourth Proportional to 874.20, 1,308.60 and 507.90

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Solution

The fourth proportional to 874.20, 1,308.60 and 507.90 is: 760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,308.60 = 507.90 : x
  2. Step 2: Convert to fraction form
    874.20/1,308.60 = 507.90/x
  3. Step 3: Cross multiply
    874.20x = 1,308.60 × 507.90
  4. Step 4: Simplify right side
    874.20x = 664,637.94
  5. Step 5: Solve for x
    x = 664,637.94/874.20
  6. Step 6: Final answer
    x = 760.28

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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.