Home / 1,535.41-2,303.75-805.47

Finding the Fourth Proportional to 1,535.41, 2,303.75 and 805.47

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Solution

The fourth proportional to 1,535.41, 2,303.75 and 805.47 is: 1,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.41 : 2,303.75 = 805.47 : x
  2. Step 2: Convert to fraction form
    1,535.41/2,303.75 = 805.47/x
  3. Step 3: Cross multiply
    1,535.41x = 2,303.75 × 805.47
  4. Step 4: Simplify right side
    1,535.41x = 1,855,601.51
  5. Step 5: Solve for x
    x = 1,855,601.51/1,535.41
  6. Step 6: Final answer
    x = 1,208.54

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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.