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Finding the Fourth Proportional to 507.88, 700.88 and 275.00

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Solution

The fourth proportional to 507.88, 700.88 and 275.00 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.88 : 700.88 = 275.00 : x
  2. Step 2: Convert to fraction form
    507.88/700.88 = 275.00/x
  3. Step 3: Cross multiply
    507.88x = 700.88 × 275.00
  4. Step 4: Simplify right side
    507.88x = 192,742.38
  5. Step 5: Solve for x
    x = 192,742.38/507.88
  6. Step 6: Final answer
    x = 379.51

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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.