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Finding the Fourth Proportional to 977.81, 1,456.01 and 942.77

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Solution

The fourth proportional to 977.81, 1,456.01 and 942.77 is: 1,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.81 : 1,456.01 = 942.77 : x
  2. Step 2: Convert to fraction form
    977.81/1,456.01 = 942.77/x
  3. Step 3: Cross multiply
    977.81x = 1,456.01 × 942.77
  4. Step 4: Simplify right side
    977.81x = 1,372,670.55
  5. Step 5: Solve for x
    x = 1,372,670.55/977.81
  6. Step 6: Final answer
    x = 1,403.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.