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Finding the Fourth Proportional to 759.28, 1,047.56 and 619.16

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Solution

The fourth proportional to 759.28, 1,047.56 and 619.16 is: 854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.28 : 1,047.56 = 619.16 : x
  2. Step 2: Convert to fraction form
    759.28/1,047.56 = 619.16/x
  3. Step 3: Cross multiply
    759.28x = 1,047.56 × 619.16
  4. Step 4: Simplify right side
    759.28x = 648,607.25
  5. Step 5: Solve for x
    x = 648,607.25/759.28
  6. Step 6: Final answer
    x = 854.24

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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.