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Finding the Fourth Proportional to 857.99, 1,184.01 and 484.96

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Solution

The fourth proportional to 857.99, 1,184.01 and 484.96 is: 669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.99 : 1,184.01 = 484.96 : x
  2. Step 2: Convert to fraction form
    857.99/1,184.01 = 484.96/x
  3. Step 3: Cross multiply
    857.99x = 1,184.01 × 484.96
  4. Step 4: Simplify right side
    857.99x = 574,202.65
  5. Step 5: Solve for x
    x = 574,202.65/857.99
  6. Step 6: Final answer
    x = 669.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.