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Finding the Fourth Proportional to 951.05, 1,421.55 and 826.67

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Solution

The fourth proportional to 951.05, 1,421.55 and 826.67 is: 1,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.05 : 1,421.55 = 826.67 : x
  2. Step 2: Convert to fraction form
    951.05/1,421.55 = 826.67/x
  3. Step 3: Cross multiply
    951.05x = 1,421.55 × 826.67
  4. Step 4: Simplify right side
    951.05x = 1,175,152.74
  5. Step 5: Solve for x
    x = 1,175,152.74/951.05
  6. Step 6: Final answer
    x = 1,235.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.