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Finding the Fourth Proportional to 1,657.08, 2,485.76 and 683

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Solution

The fourth proportional to 1,657.08, 2,485.76 and 683 is: 1,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.08 : 2,485.76 = 683 : x
  2. Step 2: Convert to fraction form
    1,657.08/2,485.76 = 683/x
  3. Step 3: Cross multiply
    1,657.08x = 2,485.76 × 683
  4. Step 4: Simplify right side
    1,657.08x = 1,697,774.08
  5. Step 5: Solve for x
    x = 1,697,774.08/1,657.08
  6. Step 6: Final answer
    x = 1,024.56

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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.