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Finding the Fourth Proportional to 507.16, 762.44 and 400.24

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Solution

The fourth proportional to 507.16, 762.44 and 400.24 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 762.44 = 400.24 : x
  2. Step 2: Convert to fraction form
    507.16/762.44 = 400.24/x
  3. Step 3: Cross multiply
    507.16x = 762.44 × 400.24
  4. Step 4: Simplify right side
    507.16x = 305,158.99
  5. Step 5: Solve for x
    x = 305,158.99/507.16
  6. Step 6: Final answer
    x = 601.70

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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.