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Finding the Fourth Proportional to 838.43, 1,156.44 and 585.93

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Solution

The fourth proportional to 838.43, 1,156.44 and 585.93 is: 808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.43 : 1,156.44 = 585.93 : x
  2. Step 2: Convert to fraction form
    838.43/1,156.44 = 585.93/x
  3. Step 3: Cross multiply
    838.43x = 1,156.44 × 585.93
  4. Step 4: Simplify right side
    838.43x = 677,592.89
  5. Step 5: Solve for x
    x = 677,592.89/838.43
  6. Step 6: Final answer
    x = 808.17

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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.