Home / 1,513.38-2,270.74-692.40

Finding the Fourth Proportional to 1,513.38, 2,270.74 and 692.40

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Solution

The fourth proportional to 1,513.38, 2,270.74 and 692.40 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.38 : 2,270.74 = 692.40 : x
  2. Step 2: Convert to fraction form
    1,513.38/2,270.74 = 692.40/x
  3. Step 3: Cross multiply
    1,513.38x = 2,270.74 × 692.40
  4. Step 4: Simplify right side
    1,513.38x = 1,572,260.38
  5. Step 5: Solve for x
    x = 1,572,260.38/1,513.38
  6. Step 6: Final answer
    x = 1,038.91

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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.