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Finding the Fourth Proportional to 1,313.75, 1,970.62 and 901.64

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Solution

The fourth proportional to 1,313.75, 1,970.62 and 901.64 is: 1,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.75 : 1,970.62 = 901.64 : x
  2. Step 2: Convert to fraction form
    1,313.75/1,970.62 = 901.64/x
  3. Step 3: Cross multiply
    1,313.75x = 1,970.62 × 901.64
  4. Step 4: Simplify right side
    1,313.75x = 1,776,781.09
  5. Step 5: Solve for x
    x = 1,776,781.09/1,313.75
  6. Step 6: Final answer
    x = 1,352.45

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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.