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Finding the Fourth Proportional to 977.73, 1,344.63 and 853.46

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Solution

The fourth proportional to 977.73, 1,344.63 and 853.46 is: 1,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.73 : 1,344.63 = 853.46 : x
  2. Step 2: Convert to fraction form
    977.73/1,344.63 = 853.46/x
  3. Step 3: Cross multiply
    977.73x = 1,344.63 × 853.46
  4. Step 4: Simplify right side
    977.73x = 1,147,587.92
  5. Step 5: Solve for x
    x = 1,147,587.92/977.73
  6. Step 6: Final answer
    x = 1,173.73

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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.