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Finding the Fourth Proportional to 1,589.06, 2,383.61 and 434.81

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Solution

The fourth proportional to 1,589.06, 2,383.61 and 434.81 is: 652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.06 : 2,383.61 = 434.81 : x
  2. Step 2: Convert to fraction form
    1,589.06/2,383.61 = 434.81/x
  3. Step 3: Cross multiply
    1,589.06x = 2,383.61 × 434.81
  4. Step 4: Simplify right side
    1,589.06x = 1,036,421.25
  5. Step 5: Solve for x
    x = 1,036,421.25/1,589.06
  6. Step 6: Final answer
    x = 652.22

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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.