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Finding the Fourth Proportional to 643.51, 964.35 and 296.95

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Solution

The fourth proportional to 643.51, 964.35 and 296.95 is: 445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.51 : 964.35 = 296.95 : x
  2. Step 2: Convert to fraction form
    643.51/964.35 = 296.95/x
  3. Step 3: Cross multiply
    643.51x = 964.35 × 296.95
  4. Step 4: Simplify right side
    643.51x = 286,363.73
  5. Step 5: Solve for x
    x = 286,363.73/643.51
  6. Step 6: Final answer
    x = 445.00

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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.