Home / 1,460.21-2,015.15-830.84

Finding the Fourth Proportional to 1,460.21, 2,015.15 and 830.84

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Solution

The fourth proportional to 1,460.21, 2,015.15 and 830.84 is: 1,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.21 : 2,015.15 = 830.84 : x
  2. Step 2: Convert to fraction form
    1,460.21/2,015.15 = 830.84/x
  3. Step 3: Cross multiply
    1,460.21x = 2,015.15 × 830.84
  4. Step 4: Simplify right side
    1,460.21x = 1,674,253.00
  5. Step 5: Solve for x
    x = 1,674,253.00/1,460.21
  6. Step 6: Final answer
    x = 1,146.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.