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Finding the Fourth Proportional to 1,272.76, 1,756.02 and 830.50

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Solution

The fourth proportional to 1,272.76, 1,756.02 and 830.50 is: 1,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.76 : 1,756.02 = 830.50 : x
  2. Step 2: Convert to fraction form
    1,272.76/1,756.02 = 830.50/x
  3. Step 3: Cross multiply
    1,272.76x = 1,756.02 × 830.50
  4. Step 4: Simplify right side
    1,272.76x = 1,458,374.61
  5. Step 5: Solve for x
    x = 1,458,374.61/1,272.76
  6. Step 6: Final answer
    x = 1,145.84

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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.