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Finding the Fourth Proportional to 959.73, 1,316.28 and 920.04

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Solution

The fourth proportional to 959.73, 1,316.28 and 920.04 is: 1,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.73 : 1,316.28 = 920.04 : x
  2. Step 2: Convert to fraction form
    959.73/1,316.28 = 920.04/x
  3. Step 3: Cross multiply
    959.73x = 1,316.28 × 920.04
  4. Step 4: Simplify right side
    959.73x = 1,211,030.25
  5. Step 5: Solve for x
    x = 1,211,030.25/959.73
  6. Step 6: Final answer
    x = 1,261.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.