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Finding the Fourth Proportional to 1,723.23, 2,585.15 and 654.63

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Solution

The fourth proportional to 1,723.23, 2,585.15 and 654.63 is: 982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.23 : 2,585.15 = 654.63 : x
  2. Step 2: Convert to fraction form
    1,723.23/2,585.15 = 654.63/x
  3. Step 3: Cross multiply
    1,723.23x = 2,585.15 × 654.63
  4. Step 4: Simplify right side
    1,723.23x = 1,692,316.74
  5. Step 5: Solve for x
    x = 1,692,316.74/1,723.23
  6. Step 6: Final answer
    x = 982.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.