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Finding the Fourth Proportional to 1,090.46, 1,504.17 and 670.07

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Solution

The fourth proportional to 1,090.46, 1,504.17 and 670.07 is: 924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.46 : 1,504.17 = 670.07 : x
  2. Step 2: Convert to fraction form
    1,090.46/1,504.17 = 670.07/x
  3. Step 3: Cross multiply
    1,090.46x = 1,504.17 × 670.07
  4. Step 4: Simplify right side
    1,090.46x = 1,007,902.95
  5. Step 5: Solve for x
    x = 1,007,902.95/1,090.46
  6. Step 6: Final answer
    x = 924.29

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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.