Home / 1,120.02-1,545.75-805.20

Finding the Fourth Proportional to 1,120.02, 1,545.75 and 805.20

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Solution

The fourth proportional to 1,120.02, 1,545.75 and 805.20 is: 1,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.02 : 1,545.75 = 805.20 : x
  2. Step 2: Convert to fraction form
    1,120.02/1,545.75 = 805.20/x
  3. Step 3: Cross multiply
    1,120.02x = 1,545.75 × 805.20
  4. Step 4: Simplify right side
    1,120.02x = 1,244,637.90
  5. Step 5: Solve for x
    x = 1,244,637.90/1,120.02
  6. Step 6: Final answer
    x = 1,111.26

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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.