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Finding the Fourth Proportional to 589.72, 808.64 and 569.12

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Solution

The fourth proportional to 589.72, 808.64 and 569.12 is: 780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 808.64 = 569.12 : x
  2. Step 2: Convert to fraction form
    589.72/808.64 = 569.12/x
  3. Step 3: Cross multiply
    589.72x = 808.64 × 569.12
  4. Step 4: Simplify right side
    589.72x = 460,213.20
  5. Step 5: Solve for x
    x = 460,213.20/589.72
  6. Step 6: Final answer
    x = 780.39

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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.