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Finding the Fourth Proportional to 871.45, 1,307.93 and 460.85

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Solution

The fourth proportional to 871.45, 1,307.93 and 460.85 is: 691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.45 : 1,307.93 = 460.85 : x
  2. Step 2: Convert to fraction form
    871.45/1,307.93 = 460.85/x
  3. Step 3: Cross multiply
    871.45x = 1,307.93 × 460.85
  4. Step 4: Simplify right side
    871.45x = 602,750.70
  5. Step 5: Solve for x
    x = 602,750.70/871.45
  6. Step 6: Final answer
    x = 691.67

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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.