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Finding the Fourth Proportional to 577.01, 865.19 and 316.91

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Solution

The fourth proportional to 577.01, 865.19 and 316.91 is: 475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 865.19 = 316.91 : x
  2. Step 2: Convert to fraction form
    577.01/865.19 = 316.91/x
  3. Step 3: Cross multiply
    577.01x = 865.19 × 316.91
  4. Step 4: Simplify right side
    577.01x = 274,190.32
  5. Step 5: Solve for x
    x = 274,190.32/577.01
  6. Step 6: Final answer
    x = 475.19

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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.