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Finding the Fourth Proportional to 507.96, 700.72 and 321.13

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Solution

The fourth proportional to 507.96, 700.72 and 321.13 is: 442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 700.72 = 321.13 : x
  2. Step 2: Convert to fraction form
    507.96/700.72 = 321.13/x
  3. Step 3: Cross multiply
    507.96x = 700.72 × 321.13
  4. Step 4: Simplify right side
    507.96x = 225,019.66
  5. Step 5: Solve for x
    x = 225,019.66/507.96
  6. Step 6: Final answer
    x = 442.99

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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.