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Finding the Fourth Proportional to 589.64, 807.89 and 581.96

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Solution

The fourth proportional to 589.64, 807.89 and 581.96 is: 797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 807.89 = 581.96 : x
  2. Step 2: Convert to fraction form
    589.64/807.89 = 581.96/x
  3. Step 3: Cross multiply
    589.64x = 807.89 × 581.96
  4. Step 4: Simplify right side
    589.64x = 470,159.66
  5. Step 5: Solve for x
    x = 470,159.66/589.64
  6. Step 6: Final answer
    x = 797.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.