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Finding the Fourth Proportional to 1,004.37, 1,507.36 and 427.65

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Solution

The fourth proportional to 1,004.37, 1,507.36 and 427.65 is: 641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.37 : 1,507.36 = 427.65 : x
  2. Step 2: Convert to fraction form
    1,004.37/1,507.36 = 427.65/x
  3. Step 3: Cross multiply
    1,004.37x = 1,507.36 × 427.65
  4. Step 4: Simplify right side
    1,004.37x = 644,622.50
  5. Step 5: Solve for x
    x = 644,622.50/1,004.37
  6. Step 6: Final answer
    x = 641.82

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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.