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Finding the Fourth Proportional to 1,560, 2,340 and 694.56

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Solution

The fourth proportional to 1,560, 2,340 and 694.56 is: 1,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560 : 2,340 = 694.56 : x
  2. Step 2: Convert to fraction form
    1,560/2,340 = 694.56/x
  3. Step 3: Cross multiply
    1,560x = 2,340 × 694.56
  4. Step 4: Simplify right side
    1,560x = 1,625,270.40
  5. Step 5: Solve for x
    x = 1,625,270.40/1,560
  6. Step 6: Final answer
    x = 1,041.84

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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.