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Finding the Fourth Proportional to 1,036.45, 1,555.17 and 689.95

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Solution

The fourth proportional to 1,036.45, 1,555.17 and 689.95 is: 1,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.45 : 1,555.17 = 689.95 : x
  2. Step 2: Convert to fraction form
    1,036.45/1,555.17 = 689.95/x
  3. Step 3: Cross multiply
    1,036.45x = 1,555.17 × 689.95
  4. Step 4: Simplify right side
    1,036.45x = 1,072,989.54
  5. Step 5: Solve for x
    x = 1,072,989.54/1,036.45
  6. Step 6: Final answer
    x = 1,035.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.