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Finding the Fourth Proportional to 1,418.45, 1,957.44 and 829.47

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Solution

The fourth proportional to 1,418.45, 1,957.44 and 829.47 is: 1,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.45 : 1,957.44 = 829.47 : x
  2. Step 2: Convert to fraction form
    1,418.45/1,957.44 = 829.47/x
  3. Step 3: Cross multiply
    1,418.45x = 1,957.44 × 829.47
  4. Step 4: Simplify right side
    1,418.45x = 1,623,637.76
  5. Step 5: Solve for x
    x = 1,623,637.76/1,418.45
  6. Step 6: Final answer
    x = 1,144.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.