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Finding the Fourth Proportional to 1,278.06, 1,762.56 and 829.47

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Solution

The fourth proportional to 1,278.06, 1,762.56 and 829.47 is: 1,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.06 : 1,762.56 = 829.47 : x
  2. Step 2: Convert to fraction form
    1,278.06/1,762.56 = 829.47/x
  3. Step 3: Cross multiply
    1,278.06x = 1,762.56 × 829.47
  4. Step 4: Simplify right side
    1,278.06x = 1,461,990.64
  5. Step 5: Solve for x
    x = 1,461,990.64/1,278.06
  6. Step 6: Final answer
    x = 1,143.91

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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.