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Finding the Fourth Proportional to 649.33, 977.45 and 582.35

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Solution

The fourth proportional to 649.33, 977.45 and 582.35 is: 876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 977.45 = 582.35 : x
  2. Step 2: Convert to fraction form
    649.33/977.45 = 582.35/x
  3. Step 3: Cross multiply
    649.33x = 977.45 × 582.35
  4. Step 4: Simplify right side
    649.33x = 569,213.12
  5. Step 5: Solve for x
    x = 569,213.12/649.33
  6. Step 6: Final answer
    x = 876.62

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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.