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Finding the Fourth Proportional to 1,057.56, 1,587.15 and 693.06

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Solution

The fourth proportional to 1,057.56, 1,587.15 and 693.06 is: 1,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.56 : 1,587.15 = 693.06 : x
  2. Step 2: Convert to fraction form
    1,057.56/1,587.15 = 693.06/x
  3. Step 3: Cross multiply
    1,057.56x = 1,587.15 × 693.06
  4. Step 4: Simplify right side
    1,057.56x = 1,099,990.18
  5. Step 5: Solve for x
    x = 1,099,990.18/1,057.56
  6. Step 6: Final answer
    x = 1,040.12

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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.