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Finding the Fourth Proportional to 577.32, 869.87 and 476.85

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Solution

The fourth proportional to 577.32, 869.87 and 476.85 is: 718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 869.87 = 476.85 : x
  2. Step 2: Convert to fraction form
    577.32/869.87 = 476.85/x
  3. Step 3: Cross multiply
    577.32x = 869.87 × 476.85
  4. Step 4: Simplify right side
    577.32x = 414,797.51
  5. Step 5: Solve for x
    x = 414,797.51/577.32
  6. Step 6: Final answer
    x = 718.49

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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.