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Finding the Fourth Proportional to 565.45, 848.05 and 154.47

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Solution

The fourth proportional to 565.45, 848.05 and 154.47 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 848.05 = 154.47 : x
  2. Step 2: Convert to fraction form
    565.45/848.05 = 154.47/x
  3. Step 3: Cross multiply
    565.45x = 848.05 × 154.47
  4. Step 4: Simplify right side
    565.45x = 130,998.28
  5. Step 5: Solve for x
    x = 130,998.28/565.45
  6. Step 6: Final answer
    x = 231.67

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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.