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Finding the Fourth Proportional to 1,656.05, 2,285.18 and 992.89

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Solution

The fourth proportional to 1,656.05, 2,285.18 and 992.89 is: 1,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.05 : 2,285.18 = 992.89 : x
  2. Step 2: Convert to fraction form
    1,656.05/2,285.18 = 992.89/x
  3. Step 3: Cross multiply
    1,656.05x = 2,285.18 × 992.89
  4. Step 4: Simplify right side
    1,656.05x = 2,268,932.37
  5. Step 5: Solve for x
    x = 2,268,932.37/1,656.05
  6. Step 6: Final answer
    x = 1,370.09

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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.