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Finding the Fourth Proportional to 981.21, 1,472.19 and 433

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Solution

The fourth proportional to 981.21, 1,472.19 and 433 is: 649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.21 : 1,472.19 = 433 : x
  2. Step 2: Convert to fraction form
    981.21/1,472.19 = 433/x
  3. Step 3: Cross multiply
    981.21x = 1,472.19 × 433
  4. Step 4: Simplify right side
    981.21x = 637,456.11
  5. Step 5: Solve for x
    x = 637,456.11/981.21
  6. Step 6: Final answer
    x = 649.67

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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.