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Finding the Fourth Proportional to 649.02, 896.18 and 501.40

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Solution

The fourth proportional to 649.02, 896.18 and 501.40 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 896.18 = 501.40 : x
  2. Step 2: Convert to fraction form
    649.02/896.18 = 501.40/x
  3. Step 3: Cross multiply
    649.02x = 896.18 × 501.40
  4. Step 4: Simplify right side
    649.02x = 449,343.27
  5. Step 5: Solve for x
    x = 449,343.27/649.02
  6. Step 6: Final answer
    x = 692.34

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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.