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Finding the Fourth Proportional to 570.38, 852.30 and 428.74

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Solution

The fourth proportional to 570.38, 852.30 and 428.74 is: 640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.38 : 852.30 = 428.74 : x
  2. Step 2: Convert to fraction form
    570.38/852.30 = 428.74/x
  3. Step 3: Cross multiply
    570.38x = 852.30 × 428.74
  4. Step 4: Simplify right side
    570.38x = 365,415.11
  5. Step 5: Solve for x
    x = 365,415.11/570.38
  6. Step 6: Final answer
    x = 640.66

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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.