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Finding the Fourth Proportional to 521.48, 718.96 and 427.88

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Solution

The fourth proportional to 521.48, 718.96 and 427.88 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 718.96 = 427.88 : x
  2. Step 2: Convert to fraction form
    521.48/718.96 = 427.88/x
  3. Step 3: Cross multiply
    521.48x = 718.96 × 427.88
  4. Step 4: Simplify right side
    521.48x = 307,628.60
  5. Step 5: Solve for x
    x = 307,628.60/521.48
  6. Step 6: Final answer
    x = 589.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.