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Finding the Fourth Proportional to 1,089.90, 1,504.20 and 670.46

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Solution

The fourth proportional to 1,089.90, 1,504.20 and 670.46 is: 925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.90 : 1,504.20 = 670.46 : x
  2. Step 2: Convert to fraction form
    1,089.90/1,504.20 = 670.46/x
  3. Step 3: Cross multiply
    1,089.90x = 1,504.20 × 670.46
  4. Step 4: Simplify right side
    1,089.90x = 1,008,505.93
  5. Step 5: Solve for x
    x = 1,008,505.93/1,089.90
  6. Step 6: Final answer
    x = 925.32

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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.