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Finding the Fourth Proportional to 393.60, 586.68 and 377.76

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Solution

The fourth proportional to 393.60, 586.68 and 377.76 is: 563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 586.68 = 377.76 : x
  2. Step 2: Convert to fraction form
    393.60/586.68 = 377.76/x
  3. Step 3: Cross multiply
    393.60x = 586.68 × 377.76
  4. Step 4: Simplify right side
    393.60x = 221,624.24
  5. Step 5: Solve for x
    x = 221,624.24/393.60
  6. Step 6: Final answer
    x = 563.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.