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Finding the Fourth Proportional to 959.40, 1,439.46 and 651.60

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Solution

The fourth proportional to 959.40, 1,439.46 and 651.60 is: 977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.40 : 1,439.46 = 651.60 : x
  2. Step 2: Convert to fraction form
    959.40/1,439.46 = 651.60/x
  3. Step 3: Cross multiply
    959.40x = 1,439.46 × 651.60
  4. Step 4: Simplify right side
    959.40x = 937,952.14
  5. Step 5: Solve for x
    x = 937,952.14/959.40
  6. Step 6: Final answer
    x = 977.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.