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Finding the Fourth Proportional to 755.90, 1,038.67 and 615.68

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Solution

The fourth proportional to 755.90, 1,038.67 and 615.68 is: 846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.90 : 1,038.67 = 615.68 : x
  2. Step 2: Convert to fraction form
    755.90/1,038.67 = 615.68/x
  3. Step 3: Cross multiply
    755.90x = 1,038.67 × 615.68
  4. Step 4: Simplify right side
    755.90x = 639,488.35
  5. Step 5: Solve for x
    x = 639,488.35/755.90
  6. Step 6: Final answer
    x = 846.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.