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Finding the Fourth Proportional to 959.84, 1,323.24 and 644.55

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Solution

The fourth proportional to 959.84, 1,323.24 and 644.55 is: 888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.84 : 1,323.24 = 644.55 : x
  2. Step 2: Convert to fraction form
    959.84/1,323.24 = 644.55/x
  3. Step 3: Cross multiply
    959.84x = 1,323.24 × 644.55
  4. Step 4: Simplify right side
    959.84x = 852,894.34
  5. Step 5: Solve for x
    x = 852,894.34/959.84
  6. Step 6: Final answer
    x = 888.58

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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.