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Finding the Fourth Proportional to 1,761.70, 2,642.80 and 591.32

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Solution

The fourth proportional to 1,761.70, 2,642.80 and 591.32 is: 887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.70 : 2,642.80 = 591.32 : x
  2. Step 2: Convert to fraction form
    1,761.70/2,642.80 = 591.32/x
  3. Step 3: Cross multiply
    1,761.70x = 2,642.80 × 591.32
  4. Step 4: Simplify right side
    1,761.70x = 1,562,740.50
  5. Step 5: Solve for x
    x = 1,562,740.50/1,761.70
  6. Step 6: Final answer
    x = 887.06

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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.