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Finding the Fourth Proportional to 577.47, 795.80 and 419.94

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Solution

The fourth proportional to 577.47, 795.80 and 419.94 is: 578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.47 : 795.80 = 419.94 : x
  2. Step 2: Convert to fraction form
    577.47/795.80 = 419.94/x
  3. Step 3: Cross multiply
    577.47x = 795.80 × 419.94
  4. Step 4: Simplify right side
    577.47x = 334,186.15
  5. Step 5: Solve for x
    x = 334,186.15/577.47
  6. Step 6: Final answer
    x = 578.71

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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.