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Finding the Fourth Proportional to 1,057.16, 1,583.61 and 971.03

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Solution

The fourth proportional to 1,057.16, 1,583.61 and 971.03 is: 1,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.16 : 1,583.61 = 971.03 : x
  2. Step 2: Convert to fraction form
    1,057.16/1,583.61 = 971.03/x
  3. Step 3: Cross multiply
    1,057.16x = 1,583.61 × 971.03
  4. Step 4: Simplify right side
    1,057.16x = 1,537,724.90
  5. Step 5: Solve for x
    x = 1,537,724.90/1,057.16
  6. Step 6: Final answer
    x = 1,454.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.