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Finding the Fourth Proportional to 599.81, 893.82 and 580.23

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Solution

The fourth proportional to 599.81, 893.82 and 580.23 is: 864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 893.82 = 580.23 : x
  2. Step 2: Convert to fraction form
    599.81/893.82 = 580.23/x
  3. Step 3: Cross multiply
    599.81x = 893.82 × 580.23
  4. Step 4: Simplify right side
    599.81x = 518,621.18
  5. Step 5: Solve for x
    x = 518,621.18/599.81
  6. Step 6: Final answer
    x = 864.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.