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Finding the Fourth Proportional to 665.97, 921 and 582.94

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Solution

The fourth proportional to 665.97, 921 and 582.94 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.97 : 921 = 582.94 : x
  2. Step 2: Convert to fraction form
    665.97/921 = 582.94/x
  3. Step 3: Cross multiply
    665.97x = 921 × 582.94
  4. Step 4: Simplify right side
    665.97x = 536,887.74
  5. Step 5: Solve for x
    x = 536,887.74/665.97
  6. Step 6: Final answer
    x = 806.17

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1.5x scale

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.