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Finding the Fourth Proportional to 1,341.00, 2,011.51 and 416.54

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Solution

The fourth proportional to 1,341.00, 2,011.51 and 416.54 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.00 : 2,011.51 = 416.54 : x
  2. Step 2: Convert to fraction form
    1,341.00/2,011.51 = 416.54/x
  3. Step 3: Cross multiply
    1,341.00x = 2,011.51 × 416.54
  4. Step 4: Simplify right side
    1,341.00x = 837,866.02
  5. Step 5: Solve for x
    x = 837,866.02/1,341.00
  6. Step 6: Final answer
    x = 624.81

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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.