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Finding the Fourth Proportional to 650.51, 897.68 and 355.77

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Solution

The fourth proportional to 650.51, 897.68 and 355.77 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.51 : 897.68 = 355.77 : x
  2. Step 2: Convert to fraction form
    650.51/897.68 = 355.77/x
  3. Step 3: Cross multiply
    650.51x = 897.68 × 355.77
  4. Step 4: Simplify right side
    650.51x = 319,365.83
  5. Step 5: Solve for x
    x = 319,365.83/650.51
  6. Step 6: Final answer
    x = 490.95

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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.