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Finding the Fourth Proportional to 1,723.55, 2,378.49 and 977.54

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Solution

The fourth proportional to 1,723.55, 2,378.49 and 977.54 is: 1,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.55 : 2,378.49 = 977.54 : x
  2. Step 2: Convert to fraction form
    1,723.55/2,378.49 = 977.54/x
  3. Step 3: Cross multiply
    1,723.55x = 2,378.49 × 977.54
  4. Step 4: Simplify right side
    1,723.55x = 2,325,069.11
  5. Step 5: Solve for x
    x = 2,325,069.11/1,723.55
  6. Step 6: Final answer
    x = 1,349.00

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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.