Home / 1,513.13-2,270.36-783.23

Finding the Fourth Proportional to 1,513.13, 2,270.36 and 783.23

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Solution

The fourth proportional to 1,513.13, 2,270.36 and 783.23 is: 1,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.13 : 2,270.36 = 783.23 : x
  2. Step 2: Convert to fraction form
    1,513.13/2,270.36 = 783.23/x
  3. Step 3: Cross multiply
    1,513.13x = 2,270.36 × 783.23
  4. Step 4: Simplify right side
    1,513.13x = 1,778,214.06
  5. Step 5: Solve for x
    x = 1,778,214.06/1,513.13
  6. Step 6: Final answer
    x = 1,175.19

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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.