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Finding the Fourth Proportional to 759.47, 1,047.11 and 619.45

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Solution

The fourth proportional to 759.47, 1,047.11 and 619.45 is: 854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.47 : 1,047.11 = 619.45 : x
  2. Step 2: Convert to fraction form
    759.47/1,047.11 = 619.45/x
  3. Step 3: Cross multiply
    759.47x = 1,047.11 × 619.45
  4. Step 4: Simplify right side
    759.47x = 648,631.22
  5. Step 5: Solve for x
    x = 648,631.22/759.47
  6. Step 6: Final answer
    x = 854.05

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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.