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Finding the Fourth Proportional to 506.84, 698.63 and 436.50

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Solution

The fourth proportional to 506.84, 698.63 and 436.50 is: 601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 698.63 = 436.50 : x
  2. Step 2: Convert to fraction form
    506.84/698.63 = 436.50/x
  3. Step 3: Cross multiply
    506.84x = 698.63 × 436.50
  4. Step 4: Simplify right side
    506.84x = 304,949.81
  5. Step 5: Solve for x
    x = 304,949.81/506.84
  6. Step 6: Final answer
    x = 601.67

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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.