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Finding the Fourth Proportional to 754.84, 1,042.19 and 568.72

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Solution

The fourth proportional to 754.84, 1,042.19 and 568.72 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.84 : 1,042.19 = 568.72 : x
  2. Step 2: Convert to fraction form
    754.84/1,042.19 = 568.72/x
  3. Step 3: Cross multiply
    754.84x = 1,042.19 × 568.72
  4. Step 4: Simplify right side
    754.84x = 592,714.30
  5. Step 5: Solve for x
    x = 592,714.30/754.84
  6. Step 6: Final answer
    x = 785.22

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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.