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Finding the Fourth Proportional to 1,164.68, 1,747.05 and 298.99

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Solution

The fourth proportional to 1,164.68, 1,747.05 and 298.99 is: 448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.68 : 1,747.05 = 298.99 : x
  2. Step 2: Convert to fraction form
    1,164.68/1,747.05 = 298.99/x
  3. Step 3: Cross multiply
    1,164.68x = 1,747.05 × 298.99
  4. Step 4: Simplify right side
    1,164.68x = 522,340.25
  5. Step 5: Solve for x
    x = 522,340.25/1,164.68
  6. Step 6: Final answer
    x = 448.49

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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.