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Finding the Fourth Proportional to 959.55, 1,429.30 and 946.79

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Solution

The fourth proportional to 959.55, 1,429.30 and 946.79 is: 1,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.55 : 1,429.30 = 946.79 : x
  2. Step 2: Convert to fraction form
    959.55/1,429.30 = 946.79/x
  3. Step 3: Cross multiply
    959.55x = 1,429.30 × 946.79
  4. Step 4: Simplify right side
    959.55x = 1,353,241.02
  5. Step 5: Solve for x
    x = 1,353,241.02/959.55
  6. Step 6: Final answer
    x = 1,410.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.