Home / 1,431.50-1,975.40-802.09

Finding the Fourth Proportional to 1,431.50, 1,975.40 and 802.09

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Solution

The fourth proportional to 1,431.50, 1,975.40 and 802.09 is: 1,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.50 : 1,975.40 = 802.09 : x
  2. Step 2: Convert to fraction form
    1,431.50/1,975.40 = 802.09/x
  3. Step 3: Cross multiply
    1,431.50x = 1,975.40 × 802.09
  4. Step 4: Simplify right side
    1,431.50x = 1,584,448.40
  5. Step 5: Solve for x
    x = 1,584,448.40/1,431.50
  6. Step 6: Final answer
    x = 1,106.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.