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Finding the Fourth Proportional to 577.59, 864.75 and 479.17

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Solution

The fourth proportional to 577.59, 864.75 and 479.17 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.59 : 864.75 = 479.17 : x
  2. Step 2: Convert to fraction form
    577.59/864.75 = 479.17/x
  3. Step 3: Cross multiply
    577.59x = 864.75 × 479.17
  4. Step 4: Simplify right side
    577.59x = 414,362.26
  5. Step 5: Solve for x
    x = 414,362.26/577.59
  6. Step 6: Final answer
    x = 717.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.