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Finding the Fourth Proportional to 1,284.37, 1,921.56 and 977.11

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Solution

The fourth proportional to 1,284.37, 1,921.56 and 977.11 is: 1,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.37 : 1,921.56 = 977.11 : x
  2. Step 2: Convert to fraction form
    1,284.37/1,921.56 = 977.11/x
  3. Step 3: Cross multiply
    1,284.37x = 1,921.56 × 977.11
  4. Step 4: Simplify right side
    1,284.37x = 1,877,575.49
  5. Step 5: Solve for x
    x = 1,877,575.49/1,284.37
  6. Step 6: Final answer
    x = 1,461.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.