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Finding the Fourth Proportional to 1,477, 2,038.36 and 856

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Solution

The fourth proportional to 1,477, 2,038.36 and 856 is: 1,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477 : 2,038.36 = 856 : x
  2. Step 2: Convert to fraction form
    1,477/2,038.36 = 856/x
  3. Step 3: Cross multiply
    1,477x = 2,038.36 × 856
  4. Step 4: Simplify right side
    1,477x = 1,744,836.16
  5. Step 5: Solve for x
    x = 1,744,836.16/1,477
  6. Step 6: Final answer
    x = 1,181.34

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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.