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Finding the Fourth Proportional to 1,316.56, 1,973.52 and 450.28

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Solution

The fourth proportional to 1,316.56, 1,973.52 and 450.28 is: 674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.56 : 1,973.52 = 450.28 : x
  2. Step 2: Convert to fraction form
    1,316.56/1,973.52 = 450.28/x
  3. Step 3: Cross multiply
    1,316.56x = 1,973.52 × 450.28
  4. Step 4: Simplify right side
    1,316.56x = 888,636.59
  5. Step 5: Solve for x
    x = 888,636.59/1,316.56
  6. Step 6: Final answer
    x = 674.97

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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.