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Finding the Fourth Proportional to 577.89, 870.74 and 477.42

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Solution

The fourth proportional to 577.89, 870.74 and 477.42 is: 719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 870.74 = 477.42 : x
  2. Step 2: Convert to fraction form
    577.89/870.74 = 477.42/x
  3. Step 3: Cross multiply
    577.89x = 870.74 × 477.42
  4. Step 4: Simplify right side
    577.89x = 415,708.48
  5. Step 5: Solve for x
    x = 415,708.48/577.89
  6. Step 6: Final answer
    x = 719.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.