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Finding the Fourth Proportional to 501.80, 688.79 and 445.30

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Solution

The fourth proportional to 501.80, 688.79 and 445.30 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.80 : 688.79 = 445.30 : x
  2. Step 2: Convert to fraction form
    501.80/688.79 = 445.30/x
  3. Step 3: Cross multiply
    501.80x = 688.79 × 445.30
  4. Step 4: Simplify right side
    501.80x = 306,715.07
  5. Step 5: Solve for x
    x = 306,715.07/501.80
  6. Step 6: Final answer
    x = 611.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.