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Finding the Fourth Proportional to 507.29, 756.12 and 506.48

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Solution

The fourth proportional to 507.29, 756.12 and 506.48 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.29 : 756.12 = 506.48 : x
  2. Step 2: Convert to fraction form
    507.29/756.12 = 506.48/x
  3. Step 3: Cross multiply
    507.29x = 756.12 × 506.48
  4. Step 4: Simplify right side
    507.29x = 382,957.13
  5. Step 5: Solve for x
    x = 382,957.13/507.29
  6. Step 6: Final answer
    x = 754.91

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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.