Home / 1,513.27-2,271.26-783.35

Finding the Fourth Proportional to 1,513.27, 2,271.26 and 783.35

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Solution

The fourth proportional to 1,513.27, 2,271.26 and 783.35 is: 1,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.27 : 2,271.26 = 783.35 : x
  2. Step 2: Convert to fraction form
    1,513.27/2,271.26 = 783.35/x
  3. Step 3: Cross multiply
    1,513.27x = 2,271.26 × 783.35
  4. Step 4: Simplify right side
    1,513.27x = 1,779,199.16
  5. Step 5: Solve for x
    x = 1,779,199.16/1,513.27
  6. Step 6: Final answer
    x = 1,175.73

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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.