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Finding the Fourth Proportional to 1,509.77, 2,082.84 and 880.13

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Solution

The fourth proportional to 1,509.77, 2,082.84 and 880.13 is: 1,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.77 : 2,082.84 = 880.13 : x
  2. Step 2: Convert to fraction form
    1,509.77/2,082.84 = 880.13/x
  3. Step 3: Cross multiply
    1,509.77x = 2,082.84 × 880.13
  4. Step 4: Simplify right side
    1,509.77x = 1,833,169.97
  5. Step 5: Solve for x
    x = 1,833,169.97/1,509.77
  6. Step 6: Final answer
    x = 1,214.20

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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.