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Finding the Fourth Proportional to 570.07, 854.72 and 309.85

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Solution

The fourth proportional to 570.07, 854.72 and 309.85 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.07 : 854.72 = 309.85 : x
  2. Step 2: Convert to fraction form
    570.07/854.72 = 309.85/x
  3. Step 3: Cross multiply
    570.07x = 854.72 × 309.85
  4. Step 4: Simplify right side
    570.07x = 264,839.21
  5. Step 5: Solve for x
    x = 264,839.21/570.07
  6. Step 6: Final answer
    x = 464.57

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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.