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Finding the Fourth Proportional to 433.75, 598.63 and 286.69

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Solution

The fourth proportional to 433.75, 598.63 and 286.69 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.75 : 598.63 = 286.69 : x
  2. Step 2: Convert to fraction form
    433.75/598.63 = 286.69/x
  3. Step 3: Cross multiply
    433.75x = 598.63 × 286.69
  4. Step 4: Simplify right side
    433.75x = 171,621.23
  5. Step 5: Solve for x
    x = 171,621.23/433.75
  6. Step 6: Final answer
    x = 395.67

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