Home / 1,106.24-1,527.23-664.25

Finding the Fourth Proportional to 1,106.24, 1,527.23 and 664.25

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Solution

The fourth proportional to 1,106.24, 1,527.23 and 664.25 is: 917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.24 : 1,527.23 = 664.25 : x
  2. Step 2: Convert to fraction form
    1,106.24/1,527.23 = 664.25/x
  3. Step 3: Cross multiply
    1,106.24x = 1,527.23 × 664.25
  4. Step 4: Simplify right side
    1,106.24x = 1,014,459.21
  5. Step 5: Solve for x
    x = 1,014,459.21/1,106.24
  6. Step 6: Final answer
    x = 917.03

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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.