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Finding the Fourth Proportional to 1,057.89, 1,459.61 and 685.10

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Solution

The fourth proportional to 1,057.89, 1,459.61 and 685.10 is: 945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.89 : 1,459.61 = 685.10 : x
  2. Step 2: Convert to fraction form
    1,057.89/1,459.61 = 685.10/x
  3. Step 3: Cross multiply
    1,057.89x = 1,459.61 × 685.10
  4. Step 4: Simplify right side
    1,057.89x = 999,968.09
  5. Step 5: Solve for x
    x = 999,968.09/1,057.89
  6. Step 6: Final answer
    x = 945.25

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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.