Home / 1,531.92-2,297.90-802.92

Finding the Fourth Proportional to 1,531.92, 2,297.90 and 802.92

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Solution

The fourth proportional to 1,531.92, 2,297.90 and 802.92 is: 1,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.92 : 2,297.90 = 802.92 : x
  2. Step 2: Convert to fraction form
    1,531.92/2,297.90 = 802.92/x
  3. Step 3: Cross multiply
    1,531.92x = 2,297.90 × 802.92
  4. Step 4: Simplify right side
    1,531.92x = 1,845,025.85
  5. Step 5: Solve for x
    x = 1,845,025.85/1,531.92
  6. Step 6: Final answer
    x = 1,204.39

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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.