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Finding the Fourth Proportional to 507.48, 699.54 and 414.06

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Solution

The fourth proportional to 507.48, 699.54 and 414.06 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 699.54 = 414.06 : x
  2. Step 2: Convert to fraction form
    507.48/699.54 = 414.06/x
  3. Step 3: Cross multiply
    507.48x = 699.54 × 414.06
  4. Step 4: Simplify right side
    507.48x = 289,651.53
  5. Step 5: Solve for x
    x = 289,651.53/507.48
  6. Step 6: Final answer
    x = 570.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.