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Finding the Fourth Proportional to 1,771.34, 2,656.47 and 846.41

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Solution

The fourth proportional to 1,771.34, 2,656.47 and 846.41 is: 1,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.34 : 2,656.47 = 846.41 : x
  2. Step 2: Convert to fraction form
    1,771.34/2,656.47 = 846.41/x
  3. Step 3: Cross multiply
    1,771.34x = 2,656.47 × 846.41
  4. Step 4: Simplify right side
    1,771.34x = 2,248,462.77
  5. Step 5: Solve for x
    x = 2,248,462.77/1,771.34
  6. Step 6: Final answer
    x = 1,269.36

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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.