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Finding the Fourth Proportional to 1,004.63, 1,506.94 and 355.37

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Solution

The fourth proportional to 1,004.63, 1,506.94 and 355.37 is: 533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.63 : 1,506.94 = 355.37 : x
  2. Step 2: Convert to fraction form
    1,004.63/1,506.94 = 355.37/x
  3. Step 3: Cross multiply
    1,004.63x = 1,506.94 × 355.37
  4. Step 4: Simplify right side
    1,004.63x = 535,512.84
  5. Step 5: Solve for x
    x = 535,512.84/1,004.63
  6. Step 6: Final answer
    x = 533.05

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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.