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Finding the Fourth Proportional to 1,090.10, 1,627.23 and 1,010

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Solution

The fourth proportional to 1,090.10, 1,627.23 and 1,010 is: 1,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.10 : 1,627.23 = 1,010 : x
  2. Step 2: Convert to fraction form
    1,090.10/1,627.23 = 1,010/x
  3. Step 3: Cross multiply
    1,090.10x = 1,627.23 × 1,010
  4. Step 4: Simplify right side
    1,090.10x = 1,643,502.30
  5. Step 5: Solve for x
    x = 1,643,502.30/1,090.10
  6. Step 6: Final answer
    x = 1,507.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.