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Finding the Fourth Proportional to 749.88, 1,029.33 and 665.13

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Solution

The fourth proportional to 749.88, 1,029.33 and 665.13 is: 913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.88 : 1,029.33 = 665.13 : x
  2. Step 2: Convert to fraction form
    749.88/1,029.33 = 665.13/x
  3. Step 3: Cross multiply
    749.88x = 1,029.33 × 665.13
  4. Step 4: Simplify right side
    749.88x = 684,642.12
  5. Step 5: Solve for x
    x = 684,642.12/749.88
  6. Step 6: Final answer
    x = 913.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.