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Finding the Fourth Proportional to 577.98, 867.20 and 253.12

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Solution

The fourth proportional to 577.98, 867.20 and 253.12 is: 379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.98 : 867.20 = 253.12 : x
  2. Step 2: Convert to fraction form
    577.98/867.20 = 253.12/x
  3. Step 3: Cross multiply
    577.98x = 867.20 × 253.12
  4. Step 4: Simplify right side
    577.98x = 219,502.23
  5. Step 5: Solve for x
    x = 219,502.23/577.98
  6. Step 6: Final answer
    x = 379.77

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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.