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Finding the Fourth Proportional to 569.84, 784.54 and 443.65

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Solution

The fourth proportional to 569.84, 784.54 and 443.65 is: 610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.84 : 784.54 = 443.65 : x
  2. Step 2: Convert to fraction form
    569.84/784.54 = 443.65/x
  3. Step 3: Cross multiply
    569.84x = 784.54 × 443.65
  4. Step 4: Simplify right side
    569.84x = 348,061.17
  5. Step 5: Solve for x
    x = 348,061.17/569.84
  6. Step 6: Final answer
    x = 610.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.