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Finding the Fourth Proportional to 599.41, 823.70 and 501.01

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Solution

The fourth proportional to 599.41, 823.70 and 501.01 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.41 : 823.70 = 501.01 : x
  2. Step 2: Convert to fraction form
    599.41/823.70 = 501.01/x
  3. Step 3: Cross multiply
    599.41x = 823.70 × 501.01
  4. Step 4: Simplify right side
    599.41x = 412,681.94
  5. Step 5: Solve for x
    x = 412,681.94/599.41
  6. Step 6: Final answer
    x = 688.48

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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.