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Finding the Fourth Proportional to 507.61, 756.83 and 502.57

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Solution

The fourth proportional to 507.61, 756.83 and 502.57 is: 749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.61 : 756.83 = 502.57 : x
  2. Step 2: Convert to fraction form
    507.61/756.83 = 502.57/x
  3. Step 3: Cross multiply
    507.61x = 756.83 × 502.57
  4. Step 4: Simplify right side
    507.61x = 380,360.05
  5. Step 5: Solve for x
    x = 380,360.05/507.61
  6. Step 6: Final answer
    x = 749.32

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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.