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Finding the Fourth Proportional to 1,559.82, 2,340.54 and 693.93

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Solution

The fourth proportional to 1,559.82, 2,340.54 and 693.93 is: 1,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.82 : 2,340.54 = 693.93 : x
  2. Step 2: Convert to fraction form
    1,559.82/2,340.54 = 693.93/x
  3. Step 3: Cross multiply
    1,559.82x = 2,340.54 × 693.93
  4. Step 4: Simplify right side
    1,559.82x = 1,624,170.92
  5. Step 5: Solve for x
    x = 1,624,170.92/1,559.82
  6. Step 6: Final answer
    x = 1,041.26

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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.