Home / 1,431.53-1,975.56-802.05

Finding the Fourth Proportional to 1,431.53, 1,975.56 and 802.05

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Solution

The fourth proportional to 1,431.53, 1,975.56 and 802.05 is: 1,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.53 : 1,975.56 = 802.05 : x
  2. Step 2: Convert to fraction form
    1,431.53/1,975.56 = 802.05/x
  3. Step 3: Cross multiply
    1,431.53x = 1,975.56 × 802.05
  4. Step 4: Simplify right side
    1,431.53x = 1,584,497.90
  5. Step 5: Solve for x
    x = 1,584,497.90/1,431.53
  6. Step 6: Final answer
    x = 1,106.86

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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.