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Finding the Fourth Proportional to 649.04, 893.64 and 562.64

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Solution

The fourth proportional to 649.04, 893.64 and 562.64 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 893.64 = 562.64 : x
  2. Step 2: Convert to fraction form
    649.04/893.64 = 562.64/x
  3. Step 3: Cross multiply
    649.04x = 893.64 × 562.64
  4. Step 4: Simplify right side
    649.04x = 502,797.61
  5. Step 5: Solve for x
    x = 502,797.61/649.04
  6. Step 6: Final answer
    x = 774.68

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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.