Home / 1,702.24-2,551.87-661.53

Finding the Fourth Proportional to 1,702.24, 2,551.87 and 661.53

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Solution

The fourth proportional to 1,702.24, 2,551.87 and 661.53 is: 991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.24 : 2,551.87 = 661.53 : x
  2. Step 2: Convert to fraction form
    1,702.24/2,551.87 = 661.53/x
  3. Step 3: Cross multiply
    1,702.24x = 2,551.87 × 661.53
  4. Step 4: Simplify right side
    1,702.24x = 1,688,138.56
  5. Step 5: Solve for x
    x = 1,688,138.56/1,702.24
  6. Step 6: Final answer
    x = 991.72

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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.