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Finding the Fourth Proportional to 983.23, 1,474.54 and 435.87

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Solution

The fourth proportional to 983.23, 1,474.54 and 435.87 is: 653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.23 : 1,474.54 = 435.87 : x
  2. Step 2: Convert to fraction form
    983.23/1,474.54 = 435.87/x
  3. Step 3: Cross multiply
    983.23x = 1,474.54 × 435.87
  4. Step 4: Simplify right side
    983.23x = 642,706.66
  5. Step 5: Solve for x
    x = 642,706.66/983.23
  6. Step 6: Final answer
    x = 653.67

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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.