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Finding the Fourth Proportional to 759.63, 1,048.38 and 444.98

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Solution

The fourth proportional to 759.63, 1,048.38 and 444.98 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.63 : 1,048.38 = 444.98 : x
  2. Step 2: Convert to fraction form
    759.63/1,048.38 = 444.98/x
  3. Step 3: Cross multiply
    759.63x = 1,048.38 × 444.98
  4. Step 4: Simplify right side
    759.63x = 466,508.13
  5. Step 5: Solve for x
    x = 466,508.13/759.63
  6. Step 6: Final answer
    x = 614.13

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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.