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Finding the Fourth Proportional to 561.45, 840.73 and 287.67

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Solution

The fourth proportional to 561.45, 840.73 and 287.67 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.45 : 840.73 = 287.67 : x
  2. Step 2: Convert to fraction form
    561.45/840.73 = 287.67/x
  3. Step 3: Cross multiply
    561.45x = 840.73 × 287.67
  4. Step 4: Simplify right side
    561.45x = 241,855.77
  5. Step 5: Solve for x
    x = 241,855.77/561.45
  6. Step 6: Final answer
    x = 430.77

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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.