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Finding the Fourth Proportional to 1,651.77, 2,280.43 and 1,023.14

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Solution

The fourth proportional to 1,651.77, 2,280.43 and 1,023.14 is: 1,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.77 : 2,280.43 = 1,023.14 : x
  2. Step 2: Convert to fraction form
    1,651.77/2,280.43 = 1,023.14/x
  3. Step 3: Cross multiply
    1,651.77x = 2,280.43 × 1,023.14
  4. Step 4: Simplify right side
    1,651.77x = 2,333,187.75
  5. Step 5: Solve for x
    x = 2,333,187.75/1,651.77
  6. Step 6: Final answer
    x = 1,412.54

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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.