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Finding the Fourth Proportional to 651.11, 970.09 and 609.21

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Solution

The fourth proportional to 651.11, 970.09 and 609.21 is: 907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.11 : 970.09 = 609.21 : x
  2. Step 2: Convert to fraction form
    651.11/970.09 = 609.21/x
  3. Step 3: Cross multiply
    651.11x = 970.09 × 609.21
  4. Step 4: Simplify right side
    651.11x = 590,987.01
  5. Step 5: Solve for x
    x = 590,987.01/651.11
  6. Step 6: Final answer
    x = 907.67

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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.