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Finding the Fourth Proportional to 650.35, 975.48 and 284.91

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Solution

The fourth proportional to 650.35, 975.48 and 284.91 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 975.48 = 284.91 : x
  2. Step 2: Convert to fraction form
    650.35/975.48 = 284.91/x
  3. Step 3: Cross multiply
    650.35x = 975.48 × 284.91
  4. Step 4: Simplify right side
    650.35x = 277,924.01
  5. Step 5: Solve for x
    x = 277,924.01/650.35
  6. Step 6: Final answer
    x = 427.35

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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.