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Finding the Fourth Proportional to 1,703.79, 2,349.90 and 1,144.08

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Solution

The fourth proportional to 1,703.79, 2,349.90 and 1,144.08 is: 1,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.79 : 2,349.90 = 1,144.08 : x
  2. Step 2: Convert to fraction form
    1,703.79/2,349.90 = 1,144.08/x
  3. Step 3: Cross multiply
    1,703.79x = 2,349.90 × 1,144.08
  4. Step 4: Simplify right side
    1,703.79x = 2,688,473.59
  5. Step 5: Solve for x
    x = 2,688,473.59/1,703.79
  6. Step 6: Final answer
    x = 1,577.94

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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.