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Finding the Fourth Proportional to 1,205.01, 1,807.07 and 474.19

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Solution

The fourth proportional to 1,205.01, 1,807.07 and 474.19 is: 711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.01 : 1,807.07 = 474.19 : x
  2. Step 2: Convert to fraction form
    1,205.01/1,807.07 = 474.19/x
  3. Step 3: Cross multiply
    1,205.01x = 1,807.07 × 474.19
  4. Step 4: Simplify right side
    1,205.01x = 856,887.63
  5. Step 5: Solve for x
    x = 856,887.63/1,205.01
  6. Step 6: Final answer
    x = 711.10

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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.