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Finding the Fourth Proportional to 570.11, 786.59 and 348.83

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Solution

The fourth proportional to 570.11, 786.59 and 348.83 is: 481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 786.59 = 348.83 : x
  2. Step 2: Convert to fraction form
    570.11/786.59 = 348.83/x
  3. Step 3: Cross multiply
    570.11x = 786.59 × 348.83
  4. Step 4: Simplify right side
    570.11x = 274,386.19
  5. Step 5: Solve for x
    x = 274,386.19/570.11
  6. Step 6: Final answer
    x = 481.29

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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.