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Finding the Fourth Proportional to 431.30, 645.40 and 373.72

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Solution

The fourth proportional to 431.30, 645.40 and 373.72 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 645.40 = 373.72 : x
  2. Step 2: Convert to fraction form
    431.30/645.40 = 373.72/x
  3. Step 3: Cross multiply
    431.30x = 645.40 × 373.72
  4. Step 4: Simplify right side
    431.30x = 241,193.79
  5. Step 5: Solve for x
    x = 241,193.79/431.30
  6. Step 6: Final answer
    x = 559.23

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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.