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Finding the Fourth Proportional to 1,057.54, 1,459.40 and 665.08

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Solution

The fourth proportional to 1,057.54, 1,459.40 and 665.08 is: 917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.54 : 1,459.40 = 665.08 : x
  2. Step 2: Convert to fraction form
    1,057.54/1,459.40 = 665.08/x
  3. Step 3: Cross multiply
    1,057.54x = 1,459.40 × 665.08
  4. Step 4: Simplify right side
    1,057.54x = 970,617.75
  5. Step 5: Solve for x
    x = 970,617.75/1,057.54
  6. Step 6: Final answer
    x = 917.81

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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.