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Finding the Fourth Proportional to 520, 777.58 and 388.46

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Solution

The fourth proportional to 520, 777.58 and 388.46 is: 580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 777.58 = 388.46 : x
  2. Step 2: Convert to fraction form
    520/777.58 = 388.46/x
  3. Step 3: Cross multiply
    520x = 777.58 × 388.46
  4. Step 4: Simplify right side
    520x = 302,058.73
  5. Step 5: Solve for x
    x = 302,058.73/520
  6. Step 6: Final answer
    x = 580.88

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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.