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Finding the Fourth Proportional to 507.65, 700.55 and 274.77

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Solution

The fourth proportional to 507.65, 700.55 and 274.77 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.65 : 700.55 = 274.77 : x
  2. Step 2: Convert to fraction form
    507.65/700.55 = 274.77/x
  3. Step 3: Cross multiply
    507.65x = 700.55 × 274.77
  4. Step 4: Simplify right side
    507.65x = 192,490.12
  5. Step 5: Solve for x
    x = 192,490.12/507.65
  6. Step 6: Final answer
    x = 379.18

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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.