Home / 1,431.56-1,975.53-802.19

Finding the Fourth Proportional to 1,431.56, 1,975.53 and 802.19

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Solution

The fourth proportional to 1,431.56, 1,975.53 and 802.19 is: 1,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.56 : 1,975.53 = 802.19 : x
  2. Step 2: Convert to fraction form
    1,431.56/1,975.53 = 802.19/x
  3. Step 3: Cross multiply
    1,431.56x = 1,975.53 × 802.19
  4. Step 4: Simplify right side
    1,431.56x = 1,584,740.53
  5. Step 5: Solve for x
    x = 1,584,740.53/1,431.56
  6. Step 6: Final answer
    x = 1,107.01

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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.