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Finding the Fourth Proportional to 1,728.88, 2,593.32 and 430.35

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Solution

The fourth proportional to 1,728.88, 2,593.32 and 430.35 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.88 : 2,593.32 = 430.35 : x
  2. Step 2: Convert to fraction form
    1,728.88/2,593.32 = 430.35/x
  3. Step 3: Cross multiply
    1,728.88x = 2,593.32 × 430.35
  4. Step 4: Simplify right side
    1,728.88x = 1,116,023.92
  5. Step 5: Solve for x
    x = 1,116,023.92/1,728.88
  6. Step 6: Final answer
    x = 645.52

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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.