Home / 1,589.04-2,383.28-434.48

Finding the Fourth Proportional to 1,589.04, 2,383.28 and 434.48

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Solution

The fourth proportional to 1,589.04, 2,383.28 and 434.48 is: 651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.04 : 2,383.28 = 434.48 : x
  2. Step 2: Convert to fraction form
    1,589.04/2,383.28 = 434.48/x
  3. Step 3: Cross multiply
    1,589.04x = 2,383.28 × 434.48
  4. Step 4: Simplify right side
    1,589.04x = 1,035,487.49
  5. Step 5: Solve for x
    x = 1,035,487.49/1,589.04
  6. Step 6: Final answer
    x = 651.64

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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.