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Finding the Fourth Proportional to 599.78, 894.80 and 543.90

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Solution

The fourth proportional to 599.78, 894.80 and 543.90 is: 811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 894.80 = 543.90 : x
  2. Step 2: Convert to fraction form
    599.78/894.80 = 543.90/x
  3. Step 3: Cross multiply
    599.78x = 894.80 × 543.90
  4. Step 4: Simplify right side
    599.78x = 486,681.72
  5. Step 5: Solve for x
    x = 486,681.72/599.78
  6. Step 6: Final answer
    x = 811.43

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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.