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Finding the Fourth Proportional to 599.65, 901.70 and 577.78

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Solution

The fourth proportional to 599.65, 901.70 and 577.78 is: 868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.65 : 901.70 = 577.78 : x
  2. Step 2: Convert to fraction form
    599.65/901.70 = 577.78/x
  3. Step 3: Cross multiply
    599.65x = 901.70 × 577.78
  4. Step 4: Simplify right side
    599.65x = 520,984.23
  5. Step 5: Solve for x
    x = 520,984.23/599.65
  6. Step 6: Final answer
    x = 868.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.