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Finding the Fourth Proportional to 841.98, 1,166.85 and 830.23

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Solution

The fourth proportional to 841.98, 1,166.85 and 830.23 is: 1,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.98 : 1,166.85 = 830.23 : x
  2. Step 2: Convert to fraction form
    841.98/1,166.85 = 830.23/x
  3. Step 3: Cross multiply
    841.98x = 1,166.85 × 830.23
  4. Step 4: Simplify right side
    841.98x = 968,753.88
  5. Step 5: Solve for x
    x = 968,753.88/841.98
  6. Step 6: Final answer
    x = 1,150.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.