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Finding the Fourth Proportional to 653.37, 903.65 and 642.44

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Solution

The fourth proportional to 653.37, 903.65 and 642.44 is: 888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 903.65 = 642.44 : x
  2. Step 2: Convert to fraction form
    653.37/903.65 = 642.44/x
  3. Step 3: Cross multiply
    653.37x = 903.65 × 642.44
  4. Step 4: Simplify right side
    653.37x = 580,537.99
  5. Step 5: Solve for x
    x = 580,537.99/653.37
  6. Step 6: Final answer
    x = 888.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.