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Finding the Fourth Proportional to 507.77, 700.88 and 311.25

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Solution

The fourth proportional to 507.77, 700.88 and 311.25 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.77 : 700.88 = 311.25 : x
  2. Step 2: Convert to fraction form
    507.77/700.88 = 311.25/x
  3. Step 3: Cross multiply
    507.77x = 700.88 × 311.25
  4. Step 4: Simplify right side
    507.77x = 218,148.90
  5. Step 5: Solve for x
    x = 218,148.90/507.77
  6. Step 6: Final answer
    x = 429.62

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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.