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Finding the Fourth Proportional to 507.57, 695.87 and 493.80

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Solution

The fourth proportional to 507.57, 695.87 and 493.80 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 695.87 = 493.80 : x
  2. Step 2: Convert to fraction form
    507.57/695.87 = 493.80/x
  3. Step 3: Cross multiply
    507.57x = 695.87 × 493.80
  4. Step 4: Simplify right side
    507.57x = 343,615.99
  5. Step 5: Solve for x
    x = 343,615.99/507.57
  6. Step 6: Final answer
    x = 676.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.