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Finding the Fourth Proportional to 599.36, 821.12 and 577.20

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Solution

The fourth proportional to 599.36, 821.12 and 577.20 is: 790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.36 : 821.12 = 577.20 : x
  2. Step 2: Convert to fraction form
    599.36/821.12 = 577.20/x
  3. Step 3: Cross multiply
    599.36x = 821.12 × 577.20
  4. Step 4: Simplify right side
    599.36x = 473,950.46
  5. Step 5: Solve for x
    x = 473,950.46/599.36
  6. Step 6: Final answer
    x = 790.76

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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.