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Finding the Fourth Proportional to 507.16, 755.87 and 409.24

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Solution

The fourth proportional to 507.16, 755.87 and 409.24 is: 609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 755.87 = 409.24 : x
  2. Step 2: Convert to fraction form
    507.16/755.87 = 409.24/x
  3. Step 3: Cross multiply
    507.16x = 755.87 × 409.24
  4. Step 4: Simplify right side
    507.16x = 309,332.24
  5. Step 5: Solve for x
    x = 309,332.24/507.16
  6. Step 6: Final answer
    x = 609.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.