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Finding the Fourth Proportional to 1,260.22, 1,737.27 and 880.93

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Solution

The fourth proportional to 1,260.22, 1,737.27 and 880.93 is: 1,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.22 : 1,737.27 = 880.93 : x
  2. Step 2: Convert to fraction form
    1,260.22/1,737.27 = 880.93/x
  3. Step 3: Cross multiply
    1,260.22x = 1,737.27 × 880.93
  4. Step 4: Simplify right side
    1,260.22x = 1,530,400.17
  5. Step 5: Solve for x
    x = 1,530,400.17/1,260.22
  6. Step 6: Final answer
    x = 1,214.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.