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Finding the Fourth Proportional to 755.84, 1,042.26 and 598.21

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Solution

The fourth proportional to 755.84, 1,042.26 and 598.21 is: 824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.84 : 1,042.26 = 598.21 : x
  2. Step 2: Convert to fraction form
    755.84/1,042.26 = 598.21/x
  3. Step 3: Cross multiply
    755.84x = 1,042.26 × 598.21
  4. Step 4: Simplify right side
    755.84x = 623,490.35
  5. Step 5: Solve for x
    x = 623,490.35/755.84
  6. Step 6: Final answer
    x = 824.90

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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.