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Finding the Fourth Proportional to 507.24, 756.90 and 452.70

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Solution

The fourth proportional to 507.24, 756.90 and 452.70 is: 675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 756.90 = 452.70 : x
  2. Step 2: Convert to fraction form
    507.24/756.90 = 452.70/x
  3. Step 3: Cross multiply
    507.24x = 756.90 × 452.70
  4. Step 4: Simplify right side
    507.24x = 342,648.63
  5. Step 5: Solve for x
    x = 342,648.63/507.24
  6. Step 6: Final answer
    x = 675.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.