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Finding the Fourth Proportional to 431.72, 646.09 and 373.67

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Solution

The fourth proportional to 431.72, 646.09 and 373.67 is: 559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 646.09 = 373.67 : x
  2. Step 2: Convert to fraction form
    431.72/646.09 = 373.67/x
  3. Step 3: Cross multiply
    431.72x = 646.09 × 373.67
  4. Step 4: Simplify right side
    431.72x = 241,420.29
  5. Step 5: Solve for x
    x = 241,420.29/431.72
  6. Step 6: Final answer
    x = 559.21

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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.