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Finding the Fourth Proportional to 649.15, 893.63 and 586.79

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Solution

The fourth proportional to 649.15, 893.63 and 586.79 is: 807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.15 : 893.63 = 586.79 : x
  2. Step 2: Convert to fraction form
    649.15/893.63 = 586.79/x
  3. Step 3: Cross multiply
    649.15x = 893.63 × 586.79
  4. Step 4: Simplify right side
    649.15x = 524,373.15
  5. Step 5: Solve for x
    x = 524,373.15/649.15
  6. Step 6: Final answer
    x = 807.78

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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.