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Finding the Fourth Proportional to 649.66, 896.12 and 561.50

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Solution

The fourth proportional to 649.66, 896.12 and 561.50 is: 774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.66 : 896.12 = 561.50 : x
  2. Step 2: Convert to fraction form
    649.66/896.12 = 561.50/x
  3. Step 3: Cross multiply
    649.66x = 896.12 × 561.50
  4. Step 4: Simplify right side
    649.66x = 503,171.38
  5. Step 5: Solve for x
    x = 503,171.38/649.66
  6. Step 6: Final answer
    x = 774.51

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1.5x scale

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.