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Finding the Fourth Proportional to 507.25, 700.06 and 310.72

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Solution

The fourth proportional to 507.25, 700.06 and 310.72 is: 428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.25 : 700.06 = 310.72 : x
  2. Step 2: Convert to fraction form
    507.25/700.06 = 310.72/x
  3. Step 3: Cross multiply
    507.25x = 700.06 × 310.72
  4. Step 4: Simplify right side
    507.25x = 217,522.64
  5. Step 5: Solve for x
    x = 217,522.64/507.25
  6. Step 6: Final answer
    x = 428.83

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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.