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Finding the Fourth Proportional to 1,275.05, 1,909.83 and 883.91

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Solution

The fourth proportional to 1,275.05, 1,909.83 and 883.91 is: 1,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.05 : 1,909.83 = 883.91 : x
  2. Step 2: Convert to fraction form
    1,275.05/1,909.83 = 883.91/x
  3. Step 3: Cross multiply
    1,275.05x = 1,909.83 × 883.91
  4. Step 4: Simplify right side
    1,275.05x = 1,688,117.84
  5. Step 5: Solve for x
    x = 1,688,117.84/1,275.05
  6. Step 6: Final answer
    x = 1,323.96

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1.5x scale

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.