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Finding the Fourth Proportional to 507.79, 700.74 and 274.91

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Solution

The fourth proportional to 507.79, 700.74 and 274.91 is: 379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.79 : 700.74 = 274.91 : x
  2. Step 2: Convert to fraction form
    507.79/700.74 = 274.91/x
  3. Step 3: Cross multiply
    507.79x = 700.74 × 274.91
  4. Step 4: Simplify right side
    507.79x = 192,639.06
  5. Step 5: Solve for x
    x = 192,639.06/507.79
  6. Step 6: Final answer
    x = 379.37

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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.