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Finding the Fourth Proportional to 1,209.90, 1,807.94 and 1,015.50

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Solution

The fourth proportional to 1,209.90, 1,807.94 and 1,015.50 is: 1,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.90 : 1,807.94 = 1,015.50 : x
  2. Step 2: Convert to fraction form
    1,209.90/1,807.94 = 1,015.50/x
  3. Step 3: Cross multiply
    1,209.90x = 1,807.94 × 1,015.50
  4. Step 4: Simplify right side
    1,209.90x = 1,835,963.07
  5. Step 5: Solve for x
    x = 1,835,963.07/1,209.90
  6. Step 6: Final answer
    x = 1,517.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.