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Finding the Fourth Proportional to 959.64, 1,324.08 and 561.12

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Solution

The fourth proportional to 959.64, 1,324.08 and 561.12 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.64 : 1,324.08 = 561.12 : x
  2. Step 2: Convert to fraction form
    959.64/1,324.08 = 561.12/x
  3. Step 3: Cross multiply
    959.64x = 1,324.08 × 561.12
  4. Step 4: Simplify right side
    959.64x = 742,967.77
  5. Step 5: Solve for x
    x = 742,967.77/959.64
  6. Step 6: Final answer
    x = 774.22

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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.