Home / 727.10-1,090.34-288.28

Finding the Fourth Proportional to 727.10, 1,090.34 and 288.28

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Solution

The fourth proportional to 727.10, 1,090.34 and 288.28 is: 432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.10 : 1,090.34 = 288.28 : x
  2. Step 2: Convert to fraction form
    727.10/1,090.34 = 288.28/x
  3. Step 3: Cross multiply
    727.10x = 1,090.34 × 288.28
  4. Step 4: Simplify right side
    727.10x = 314,323.22
  5. Step 5: Solve for x
    x = 314,323.22/727.10
  6. Step 6: Final answer
    x = 432.30

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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.