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Finding the Fourth Proportional to 701.57, 1,047.15 and 619.56

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Solution

The fourth proportional to 701.57, 1,047.15 and 619.56 is: 924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.57 : 1,047.15 = 619.56 : x
  2. Step 2: Convert to fraction form
    701.57/1,047.15 = 619.56/x
  3. Step 3: Cross multiply
    701.57x = 1,047.15 × 619.56
  4. Step 4: Simplify right side
    701.57x = 648,772.25
  5. Step 5: Solve for x
    x = 648,772.25/701.57
  6. Step 6: Final answer
    x = 924.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.