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Finding the Fourth Proportional to 1,277.47, 1,762.46 and 835.63

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Solution

The fourth proportional to 1,277.47, 1,762.46 and 835.63 is: 1,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.47 : 1,762.46 = 835.63 : x
  2. Step 2: Convert to fraction form
    1,277.47/1,762.46 = 835.63/x
  3. Step 3: Cross multiply
    1,277.47x = 1,762.46 × 835.63
  4. Step 4: Simplify right side
    1,277.47x = 1,472,764.45
  5. Step 5: Solve for x
    x = 1,472,764.45/1,277.47
  6. Step 6: Final answer
    x = 1,152.88

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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.