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Finding the Fourth Proportional to 569.78, 784.71 and 438.56

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Solution

The fourth proportional to 569.78, 784.71 and 438.56 is: 603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 784.71 = 438.56 : x
  2. Step 2: Convert to fraction form
    569.78/784.71 = 438.56/x
  3. Step 3: Cross multiply
    569.78x = 784.71 × 438.56
  4. Step 4: Simplify right side
    569.78x = 344,138.49
  5. Step 5: Solve for x
    x = 344,138.49/569.78
  6. Step 6: Final answer
    x = 603.99

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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.