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Finding the Fourth Proportional to 577.70, 867.18 and 509.66

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Solution

The fourth proportional to 577.70, 867.18 and 509.66 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 867.18 = 509.66 : x
  2. Step 2: Convert to fraction form
    577.70/867.18 = 509.66/x
  3. Step 3: Cross multiply
    577.70x = 867.18 × 509.66
  4. Step 4: Simplify right side
    577.70x = 441,966.96
  5. Step 5: Solve for x
    x = 441,966.96/577.70
  6. Step 6: Final answer
    x = 765.05

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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.