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Finding the Fourth Proportional to 1,723.56, 2,378.55 and 977.55

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Solution

The fourth proportional to 1,723.56, 2,378.55 and 977.55 is: 1,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.56 : 2,378.55 = 977.55 : x
  2. Step 2: Convert to fraction form
    1,723.56/2,378.55 = 977.55/x
  3. Step 3: Cross multiply
    1,723.56x = 2,378.55 × 977.55
  4. Step 4: Simplify right side
    1,723.56x = 2,325,151.55
  5. Step 5: Solve for x
    x = 2,325,151.55/1,723.56
  6. Step 6: Final answer
    x = 1,349.04

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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.