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Finding the Fourth Proportional to 436.07, 653.30 and 381.80

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Solution

The fourth proportional to 436.07, 653.30 and 381.80 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.07 : 653.30 = 381.80 : x
  2. Step 2: Convert to fraction form
    436.07/653.30 = 381.80/x
  3. Step 3: Cross multiply
    436.07x = 653.30 × 381.80
  4. Step 4: Simplify right side
    436.07x = 249,428.03
  5. Step 5: Solve for x
    x = 249,428.03/436.07
  6. Step 6: Final answer
    x = 571.99

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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.