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Finding the Fourth Proportional to 1,656.96, 2,285.65 and 993.43

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Solution

The fourth proportional to 1,656.96, 2,285.65 and 993.43 is: 1,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.96 : 2,285.65 = 993.43 : x
  2. Step 2: Convert to fraction form
    1,656.96/2,285.65 = 993.43/x
  3. Step 3: Cross multiply
    1,656.96x = 2,285.65 × 993.43
  4. Step 4: Simplify right side
    1,656.96x = 2,270,621.85
  5. Step 5: Solve for x
    x = 2,270,621.85/1,656.96
  6. Step 6: Final answer
    x = 1,370.35

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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.