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Finding the Fourth Proportional to 569.02, 784.45 and 419.77

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Solution

The fourth proportional to 569.02, 784.45 and 419.77 is: 578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.02 : 784.45 = 419.77 : x
  2. Step 2: Convert to fraction form
    569.02/784.45 = 419.77/x
  3. Step 3: Cross multiply
    569.02x = 784.45 × 419.77
  4. Step 4: Simplify right side
    569.02x = 329,286.48
  5. Step 5: Solve for x
    x = 329,286.48/569.02
  6. Step 6: Final answer
    x = 578.70

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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.