Home / 1,535.19-2,300.64-830.88

Finding the Fourth Proportional to 1,535.19, 2,300.64 and 830.88

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Solution

The fourth proportional to 1,535.19, 2,300.64 and 830.88 is: 1,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.19 : 2,300.64 = 830.88 : x
  2. Step 2: Convert to fraction form
    1,535.19/2,300.64 = 830.88/x
  3. Step 3: Cross multiply
    1,535.19x = 2,300.64 × 830.88
  4. Step 4: Simplify right side
    1,535.19x = 1,911,555.76
  5. Step 5: Solve for x
    x = 1,911,555.76/1,535.19
  6. Step 6: Final answer
    x = 1,245.16

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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.