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Finding the Fourth Proportional to 577.24, 864.42 and 456.16

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Solution

The fourth proportional to 577.24, 864.42 and 456.16 is: 683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 864.42 = 456.16 : x
  2. Step 2: Convert to fraction form
    577.24/864.42 = 456.16/x
  3. Step 3: Cross multiply
    577.24x = 864.42 × 456.16
  4. Step 4: Simplify right side
    577.24x = 394,313.83
  5. Step 5: Solve for x
    x = 394,313.83/577.24
  6. Step 6: Final answer
    x = 683.10

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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.