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Finding the Fourth Proportional to 1,955.83, 2,933.76 and 657.30

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Solution

The fourth proportional to 1,955.83, 2,933.76 and 657.30 is: 985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.83 : 2,933.76 = 657.30 : x
  2. Step 2: Convert to fraction form
    1,955.83/2,933.76 = 657.30/x
  3. Step 3: Cross multiply
    1,955.83x = 2,933.76 × 657.30
  4. Step 4: Simplify right side
    1,955.83x = 1,928,360.45
  5. Step 5: Solve for x
    x = 1,928,360.45/1,955.83
  6. Step 6: Final answer
    x = 985.96

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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.