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Finding the Fourth Proportional to 570.16, 786.83 and 334.05

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Solution

The fourth proportional to 570.16, 786.83 and 334.05 is: 460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 786.83 = 334.05 : x
  2. Step 2: Convert to fraction form
    570.16/786.83 = 334.05/x
  3. Step 3: Cross multiply
    570.16x = 786.83 × 334.05
  4. Step 4: Simplify right side
    570.16x = 262,838.62
  5. Step 5: Solve for x
    x = 262,838.62/570.16
  6. Step 6: Final answer
    x = 460.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.