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Finding the Fourth Proportional to 959.42, 1,323.84 and 561.14

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Solution

The fourth proportional to 959.42, 1,323.84 and 561.14 is: 774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.42 : 1,323.84 = 561.14 : x
  2. Step 2: Convert to fraction form
    959.42/1,323.84 = 561.14/x
  3. Step 3: Cross multiply
    959.42x = 1,323.84 × 561.14
  4. Step 4: Simplify right side
    959.42x = 742,859.58
  5. Step 5: Solve for x
    x = 742,859.58/959.42
  6. Step 6: Final answer
    x = 774.28

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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.