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Finding the Fourth Proportional to 1,205.09, 1,807.62 and 424.91

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Solution

The fourth proportional to 1,205.09, 1,807.62 and 424.91 is: 637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.09 : 1,807.62 = 424.91 : x
  2. Step 2: Convert to fraction form
    1,205.09/1,807.62 = 424.91/x
  3. Step 3: Cross multiply
    1,205.09x = 1,807.62 × 424.91
  4. Step 4: Simplify right side
    1,205.09x = 768,075.81
  5. Step 5: Solve for x
    x = 768,075.81/1,205.09
  6. Step 6: Final answer
    x = 637.36

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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.