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Finding the Fourth Proportional to 645.89, 970.52 and 430.83

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Solution

The fourth proportional to 645.89, 970.52 and 430.83 is: 647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.89 : 970.52 = 430.83 : x
  2. Step 2: Convert to fraction form
    645.89/970.52 = 430.83/x
  3. Step 3: Cross multiply
    645.89x = 970.52 × 430.83
  4. Step 4: Simplify right side
    645.89x = 418,126.98
  5. Step 5: Solve for x
    x = 418,126.98/645.89
  6. Step 6: Final answer
    x = 647.37

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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.