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Finding the Fourth Proportional to 570.06, 786.87 and 423.18

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Solution

The fourth proportional to 570.06, 786.87 and 423.18 is: 584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.06 : 786.87 = 423.18 : x
  2. Step 2: Convert to fraction form
    570.06/786.87 = 423.18/x
  3. Step 3: Cross multiply
    570.06x = 786.87 × 423.18
  4. Step 4: Simplify right side
    570.06x = 332,987.65
  5. Step 5: Solve for x
    x = 332,987.65/570.06
  6. Step 6: Final answer
    x = 584.13

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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.