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Finding the Fourth Proportional to 650.72, 976.98 and 430.70

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Solution

The fourth proportional to 650.72, 976.98 and 430.70 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.72 : 976.98 = 430.70 : x
  2. Step 2: Convert to fraction form
    650.72/976.98 = 430.70/x
  3. Step 3: Cross multiply
    650.72x = 976.98 × 430.70
  4. Step 4: Simplify right side
    650.72x = 420,780.40
  5. Step 5: Solve for x
    x = 420,780.40/650.72
  6. Step 6: Final answer
    x = 646.64

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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.