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Finding the Fourth Proportional to 645.92, 973.56 and 610.72

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Solution

The fourth proportional to 645.92, 973.56 and 610.72 is: 920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.92 : 973.56 = 610.72 : x
  2. Step 2: Convert to fraction form
    645.92/973.56 = 610.72/x
  3. Step 3: Cross multiply
    645.92x = 973.56 × 610.72
  4. Step 4: Simplify right side
    645.92x = 594,572.56
  5. Step 5: Solve for x
    x = 594,572.56/645.92
  6. Step 6: Final answer
    x = 920.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.