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Finding the Fourth Proportional to 598.95, 898.16 and 383.90

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Solution

The fourth proportional to 598.95, 898.16 and 383.90 is: 575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.95 : 898.16 = 383.90 : x
  2. Step 2: Convert to fraction form
    598.95/898.16 = 383.90/x
  3. Step 3: Cross multiply
    598.95x = 898.16 × 383.90
  4. Step 4: Simplify right side
    598.95x = 344,797.21
  5. Step 5: Solve for x
    x = 344,797.21/598.95
  6. Step 6: Final answer
    x = 575.67

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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.