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Finding the Fourth Proportional to 1,090.47, 1,504.92 and 717.67

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Solution

The fourth proportional to 1,090.47, 1,504.92 and 717.67 is: 990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.47 : 1,504.92 = 717.67 : x
  2. Step 2: Convert to fraction form
    1,090.47/1,504.92 = 717.67/x
  3. Step 3: Cross multiply
    1,090.47x = 1,504.92 × 717.67
  4. Step 4: Simplify right side
    1,090.47x = 1,080,035.94
  5. Step 5: Solve for x
    x = 1,080,035.94/1,090.47
  6. Step 6: Final answer
    x = 990.43

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1.5x scale

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.