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Finding the Fourth Proportional to 609.80, 916.48 and 507.76

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Solution

The fourth proportional to 609.80, 916.48 and 507.76 is: 763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 916.48 = 507.76 : x
  2. Step 2: Convert to fraction form
    609.80/916.48 = 507.76/x
  3. Step 3: Cross multiply
    609.80x = 916.48 × 507.76
  4. Step 4: Simplify right side
    609.80x = 465,351.88
  5. Step 5: Solve for x
    x = 465,351.88/609.80
  6. Step 6: Final answer
    x = 763.12

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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.