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Finding the Fourth Proportional to 507.43, 695.68 and 498.20

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Solution

The fourth proportional to 507.43, 695.68 and 498.20 is: 683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.43 : 695.68 = 498.20 : x
  2. Step 2: Convert to fraction form
    507.43/695.68 = 498.20/x
  3. Step 3: Cross multiply
    507.43x = 695.68 × 498.20
  4. Step 4: Simplify right side
    507.43x = 346,587.78
  5. Step 5: Solve for x
    x = 346,587.78/507.43
  6. Step 6: Final answer
    x = 683.03

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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.