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Finding the Fourth Proportional to 575.43, 857.41 and 514.08

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Solution

The fourth proportional to 575.43, 857.41 and 514.08 is: 766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.43 : 857.41 = 514.08 : x
  2. Step 2: Convert to fraction form
    575.43/857.41 = 514.08/x
  3. Step 3: Cross multiply
    575.43x = 857.41 × 514.08
  4. Step 4: Simplify right side
    575.43x = 440,777.33
  5. Step 5: Solve for x
    x = 440,777.33/575.43
  6. Step 6: Final answer
    x = 766.00

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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.