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Finding the Fourth Proportional to 1,715.75, 2,574.35 and 839.03

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Solution

The fourth proportional to 1,715.75, 2,574.35 and 839.03 is: 1,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.75 : 2,574.35 = 839.03 : x
  2. Step 2: Convert to fraction form
    1,715.75/2,574.35 = 839.03/x
  3. Step 3: Cross multiply
    1,715.75x = 2,574.35 × 839.03
  4. Step 4: Simplify right side
    1,715.75x = 2,159,939.81
  5. Step 5: Solve for x
    x = 2,159,939.81/1,715.75
  6. Step 6: Final answer
    x = 1,258.89

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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.