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Finding the Fourth Proportional to 649.72, 896.94 and 502.02

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Solution

The fourth proportional to 649.72, 896.94 and 502.02 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 896.94 = 502.02 : x
  2. Step 2: Convert to fraction form
    649.72/896.94 = 502.02/x
  3. Step 3: Cross multiply
    649.72x = 896.94 × 502.02
  4. Step 4: Simplify right side
    649.72x = 450,281.82
  5. Step 5: Solve for x
    x = 450,281.82/649.72
  6. Step 6: Final answer
    x = 693.04

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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.