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Finding the Fourth Proportional to 391.74, 583.05 and 383.64

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Solution

The fourth proportional to 391.74, 583.05 and 383.64 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.74 : 583.05 = 383.64 : x
  2. Step 2: Convert to fraction form
    391.74/583.05 = 383.64/x
  3. Step 3: Cross multiply
    391.74x = 583.05 × 383.64
  4. Step 4: Simplify right side
    391.74x = 223,678.40
  5. Step 5: Solve for x
    x = 223,678.40/391.74
  6. Step 6: Final answer
    x = 570.99

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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.