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Finding the Fourth Proportional to 1,313.50, 1,970.35 and 435.97

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Solution

The fourth proportional to 1,313.50, 1,970.35 and 435.97 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.50 : 1,970.35 = 435.97 : x
  2. Step 2: Convert to fraction form
    1,313.50/1,970.35 = 435.97/x
  3. Step 3: Cross multiply
    1,313.50x = 1,970.35 × 435.97
  4. Step 4: Simplify right side
    1,313.50x = 859,003.64
  5. Step 5: Solve for x
    x = 859,003.64/1,313.50
  6. Step 6: Final answer
    x = 653.98

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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.