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Finding the Fourth Proportional to 1,209.24, 1,813.98 and 479.32

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Solution

The fourth proportional to 1,209.24, 1,813.98 and 479.32 is: 719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.24 : 1,813.98 = 479.32 : x
  2. Step 2: Convert to fraction form
    1,209.24/1,813.98 = 479.32/x
  3. Step 3: Cross multiply
    1,209.24x = 1,813.98 × 479.32
  4. Step 4: Simplify right side
    1,209.24x = 869,476.89
  5. Step 5: Solve for x
    x = 869,476.89/1,209.24
  6. Step 6: Final answer
    x = 719.03

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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.