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Finding the Fourth Proportional to 731.63, 1,010.46 and 567.83

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Solution

The fourth proportional to 731.63, 1,010.46 and 567.83 is: 784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.63 : 1,010.46 = 567.83 : x
  2. Step 2: Convert to fraction form
    731.63/1,010.46 = 567.83/x
  3. Step 3: Cross multiply
    731.63x = 1,010.46 × 567.83
  4. Step 4: Simplify right side
    731.63x = 573,764.45
  5. Step 5: Solve for x
    x = 573,764.45/731.63
  6. Step 6: Final answer
    x = 784.23

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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.