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Finding the Fourth Proportional to 507.45, 700.28 and 274.57

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Solution

The fourth proportional to 507.45, 700.28 and 274.57 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 700.28 = 274.57 : x
  2. Step 2: Convert to fraction form
    507.45/700.28 = 274.57/x
  3. Step 3: Cross multiply
    507.45x = 700.28 × 274.57
  4. Step 4: Simplify right side
    507.45x = 192,275.90
  5. Step 5: Solve for x
    x = 192,275.90/507.45
  6. Step 6: Final answer
    x = 378.91

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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.