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Finding the Fourth Proportional to 1,513.54, 2,270.88 and 782.66

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Solution

The fourth proportional to 1,513.54, 2,270.88 and 782.66 is: 1,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.54 : 2,270.88 = 782.66 : x
  2. Step 2: Convert to fraction form
    1,513.54/2,270.88 = 782.66/x
  3. Step 3: Cross multiply
    1,513.54x = 2,270.88 × 782.66
  4. Step 4: Simplify right side
    1,513.54x = 1,777,326.94
  5. Step 5: Solve for x
    x = 1,777,326.94/1,513.54
  6. Step 6: Final answer
    x = 1,174.28

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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.