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Finding the Fourth Proportional to 385.47, 577.56 and 282.79

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Solution

The fourth proportional to 385.47, 577.56 and 282.79 is: 423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 577.56 = 282.79 : x
  2. Step 2: Convert to fraction form
    385.47/577.56 = 282.79/x
  3. Step 3: Cross multiply
    385.47x = 577.56 × 282.79
  4. Step 4: Simplify right side
    385.47x = 163,328.19
  5. Step 5: Solve for x
    x = 163,328.19/385.47
  6. Step 6: Final answer
    x = 423.71

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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.