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Finding the Fourth Proportional to 653.54, 975.87 and 575.89

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Solution

The fourth proportional to 653.54, 975.87 and 575.89 is: 859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 975.87 = 575.89 : x
  2. Step 2: Convert to fraction form
    653.54/975.87 = 575.89/x
  3. Step 3: Cross multiply
    653.54x = 975.87 × 575.89
  4. Step 4: Simplify right side
    653.54x = 561,991.33
  5. Step 5: Solve for x
    x = 561,991.33/653.54
  6. Step 6: Final answer
    x = 859.93

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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.