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Finding the Fourth Proportional to 570.67, 854.23 and 365.40

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Solution

The fourth proportional to 570.67, 854.23 and 365.40 is: 546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.67 : 854.23 = 365.40 : x
  2. Step 2: Convert to fraction form
    570.67/854.23 = 365.40/x
  3. Step 3: Cross multiply
    570.67x = 854.23 × 365.40
  4. Step 4: Simplify right side
    570.67x = 312,135.64
  5. Step 5: Solve for x
    x = 312,135.64/570.67
  6. Step 6: Final answer
    x = 546.96

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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.