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Finding the Fourth Proportional to 649.60, 977.87 and 582.63

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Solution

The fourth proportional to 649.60, 977.87 and 582.63 is: 877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 977.87 = 582.63 : x
  2. Step 2: Convert to fraction form
    649.60/977.87 = 582.63/x
  3. Step 3: Cross multiply
    649.60x = 977.87 × 582.63
  4. Step 4: Simplify right side
    649.60x = 569,736.40
  5. Step 5: Solve for x
    x = 569,736.40/649.60
  6. Step 6: Final answer
    x = 877.06

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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.