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Finding the Fourth Proportional to 585.02, 806.94 and 388.53

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Solution

The fourth proportional to 585.02, 806.94 and 388.53 is: 535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.02 : 806.94 = 388.53 : x
  2. Step 2: Convert to fraction form
    585.02/806.94 = 388.53/x
  3. Step 3: Cross multiply
    585.02x = 806.94 × 388.53
  4. Step 4: Simplify right side
    585.02x = 313,520.40
  5. Step 5: Solve for x
    x = 313,520.40/585.02
  6. Step 6: Final answer
    x = 535.91

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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.