Home / 1,316.40-1,972.20-802.80

Finding the Fourth Proportional to 1,316.40, 1,972.20 and 802.80

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Solution

The fourth proportional to 1,316.40, 1,972.20 and 802.80 is: 1,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.40 : 1,972.20 = 802.80 : x
  2. Step 2: Convert to fraction form
    1,316.40/1,972.20 = 802.80/x
  3. Step 3: Cross multiply
    1,316.40x = 1,972.20 × 802.80
  4. Step 4: Simplify right side
    1,316.40x = 1,583,282.16
  5. Step 5: Solve for x
    x = 1,583,282.16/1,316.40
  6. Step 6: Final answer
    x = 1,202.74

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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.