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Finding the Fourth Proportional to 1,652.35, 2,478.54 and 727.68

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Solution

The fourth proportional to 1,652.35, 2,478.54 and 727.68 is: 1,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.35 : 2,478.54 = 727.68 : x
  2. Step 2: Convert to fraction form
    1,652.35/2,478.54 = 727.68/x
  3. Step 3: Cross multiply
    1,652.35x = 2,478.54 × 727.68
  4. Step 4: Simplify right side
    1,652.35x = 1,803,583.99
  5. Step 5: Solve for x
    x = 1,803,583.99/1,652.35
  6. Step 6: Final answer
    x = 1,091.53

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1.5x scale

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.