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Finding the Fourth Proportional to 1,771.77, 2,658.42 and 847.35

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Solution

The fourth proportional to 1,771.77, 2,658.42 and 847.35 is: 1,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.77 : 2,658.42 = 847.35 : x
  2. Step 2: Convert to fraction form
    1,771.77/2,658.42 = 847.35/x
  3. Step 3: Cross multiply
    1,771.77x = 2,658.42 × 847.35
  4. Step 4: Simplify right side
    1,771.77x = 2,252,612.19
  5. Step 5: Solve for x
    x = 2,252,612.19/1,771.77
  6. Step 6: Final answer
    x = 1,271.39

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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.