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Finding the Fourth Proportional to 961.95, 1,435.37 and 903.17

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Solution

The fourth proportional to 961.95, 1,435.37 and 903.17 is: 1,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.95 : 1,435.37 = 903.17 : x
  2. Step 2: Convert to fraction form
    961.95/1,435.37 = 903.17/x
  3. Step 3: Cross multiply
    961.95x = 1,435.37 × 903.17
  4. Step 4: Simplify right side
    961.95x = 1,296,380.20
  5. Step 5: Solve for x
    x = 1,296,380.20/961.95
  6. Step 6: Final answer
    x = 1,347.66

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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.