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Finding the Fourth Proportional to 744.99, 1,029.07 and 621.06

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Solution

The fourth proportional to 744.99, 1,029.07 and 621.06 is: 857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.99 : 1,029.07 = 621.06 : x
  2. Step 2: Convert to fraction form
    744.99/1,029.07 = 621.06/x
  3. Step 3: Cross multiply
    744.99x = 1,029.07 × 621.06
  4. Step 4: Simplify right side
    744.99x = 639,109.07
  5. Step 5: Solve for x
    x = 639,109.07/744.99
  6. Step 6: Final answer
    x = 857.88

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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.