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Finding the Fourth Proportional to 570.66, 854.11 and 403.56

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Solution

The fourth proportional to 570.66, 854.11 and 403.56 is: 604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.66 : 854.11 = 403.56 : x
  2. Step 2: Convert to fraction form
    570.66/854.11 = 403.56/x
  3. Step 3: Cross multiply
    570.66x = 854.11 × 403.56
  4. Step 4: Simplify right side
    570.66x = 344,681.03
  5. Step 5: Solve for x
    x = 344,681.03/570.66
  6. Step 6: Final answer
    x = 604.01

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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.