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Finding the Fourth Proportional to 653.67, 981.72 and 410.67

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Solution

The fourth proportional to 653.67, 981.72 and 410.67 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 981.72 = 410.67 : x
  2. Step 2: Convert to fraction form
    653.67/981.72 = 410.67/x
  3. Step 3: Cross multiply
    653.67x = 981.72 × 410.67
  4. Step 4: Simplify right side
    653.67x = 403,162.95
  5. Step 5: Solve for x
    x = 403,162.95/653.67
  6. Step 6: Final answer
    x = 616.77

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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.