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Finding the Fourth Proportional to 645.24, 973.47 and 573.96

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Solution

The fourth proportional to 645.24, 973.47 and 573.96 is: 865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 973.47 = 573.96 : x
  2. Step 2: Convert to fraction form
    645.24/973.47 = 573.96/x
  3. Step 3: Cross multiply
    645.24x = 973.47 × 573.96
  4. Step 4: Simplify right side
    645.24x = 558,732.84
  5. Step 5: Solve for x
    x = 558,732.84/645.24
  6. Step 6: Final answer
    x = 865.93

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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.