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Finding the Fourth Proportional to 946.60, 1,303.62 and 684.20

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Solution

The fourth proportional to 946.60, 1,303.62 and 684.20 is: 942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.60 : 1,303.62 = 684.20 : x
  2. Step 2: Convert to fraction form
    946.60/1,303.62 = 684.20/x
  3. Step 3: Cross multiply
    946.60x = 1,303.62 × 684.20
  4. Step 4: Simplify right side
    946.60x = 891,936.80
  5. Step 5: Solve for x
    x = 891,936.80/946.60
  6. Step 6: Final answer
    x = 942.25

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1.5x scale

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.