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Finding the Fourth Proportional to 649.07, 977.07 and 582.10

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Solution

The fourth proportional to 649.07, 977.07 and 582.10 is: 876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 977.07 = 582.10 : x
  2. Step 2: Convert to fraction form
    649.07/977.07 = 582.10/x
  3. Step 3: Cross multiply
    649.07x = 977.07 × 582.10
  4. Step 4: Simplify right side
    649.07x = 568,747.56
  5. Step 5: Solve for x
    x = 568,747.56/649.07
  6. Step 6: Final answer
    x = 876.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.