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Finding the Fourth Proportional to 759.88, 1,045.14 and 619

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Solution

The fourth proportional to 759.88, 1,045.14 and 619 is: 851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.88 : 1,045.14 = 619 : x
  2. Step 2: Convert to fraction form
    759.88/1,045.14 = 619/x
  3. Step 3: Cross multiply
    759.88x = 1,045.14 × 619
  4. Step 4: Simplify right side
    759.88x = 646,941.66
  5. Step 5: Solve for x
    x = 646,941.66/759.88
  6. Step 6: Final answer
    x = 851.37

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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.