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Finding the Fourth Proportional to 431.48, 645.68 and 373.90

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Solution

The fourth proportional to 431.48, 645.68 and 373.90 is: 559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 645.68 = 373.90 : x
  2. Step 2: Convert to fraction form
    431.48/645.68 = 373.90/x
  3. Step 3: Cross multiply
    431.48x = 645.68 × 373.90
  4. Step 4: Simplify right side
    431.48x = 241,419.75
  5. Step 5: Solve for x
    x = 241,419.75/431.48
  6. Step 6: Final answer
    x = 559.52

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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.