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Finding the Fourth Proportional to 1,657.80, 2,300.16 and 1,643.67

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Solution

The fourth proportional to 1,657.80, 2,300.16 and 1,643.67 is: 2,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.80 : 2,300.16 = 1,643.67 : x
  2. Step 2: Convert to fraction form
    1,657.80/2,300.16 = 1,643.67/x
  3. Step 3: Cross multiply
    1,657.80x = 2,300.16 × 1,643.67
  4. Step 4: Simplify right side
    1,657.80x = 3,780,703.99
  5. Step 5: Solve for x
    x = 3,780,703.99/1,657.80
  6. Step 6: Final answer
    x = 2,280.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.