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Finding the Fourth Proportional to 570.16, 853.69 and 295.67

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Solution

The fourth proportional to 570.16, 853.69 and 295.67 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 853.69 = 295.67 : x
  2. Step 2: Convert to fraction form
    570.16/853.69 = 295.67/x
  3. Step 3: Cross multiply
    570.16x = 853.69 × 295.67
  4. Step 4: Simplify right side
    570.16x = 252,410.35
  5. Step 5: Solve for x
    x = 252,410.35/570.16
  6. Step 6: Final answer
    x = 442.70

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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.