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Finding the Fourth Proportional to 599.30, 824.78 and 507.26

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Solution

The fourth proportional to 599.30, 824.78 and 507.26 is: 698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 824.78 = 507.26 : x
  2. Step 2: Convert to fraction form
    599.30/824.78 = 507.26/x
  3. Step 3: Cross multiply
    599.30x = 824.78 × 507.26
  4. Step 4: Simplify right side
    599.30x = 418,371.24
  5. Step 5: Solve for x
    x = 418,371.24/599.30
  6. Step 6: Final answer
    x = 698.11

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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.