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Finding the Fourth Proportional to 755.00, 1,041.71 and 578.12

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Solution

The fourth proportional to 755.00, 1,041.71 and 578.12 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.00 : 1,041.71 = 578.12 : x
  2. Step 2: Convert to fraction form
    755.00/1,041.71 = 578.12/x
  3. Step 3: Cross multiply
    755.00x = 1,041.71 × 578.12
  4. Step 4: Simplify right side
    755.00x = 602,234.40
  5. Step 5: Solve for x
    x = 602,234.40/755.00
  6. Step 6: Final answer
    x = 797.66

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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.