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Finding the Fourth Proportional to 846.60, 1,268.21 and 435.17

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Solution

The fourth proportional to 846.60, 1,268.21 and 435.17 is: 651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.60 : 1,268.21 = 435.17 : x
  2. Step 2: Convert to fraction form
    846.60/1,268.21 = 435.17/x
  3. Step 3: Cross multiply
    846.60x = 1,268.21 × 435.17
  4. Step 4: Simplify right side
    846.60x = 551,888.76
  5. Step 5: Solve for x
    x = 551,888.76/846.60
  6. Step 6: Final answer
    x = 651.89

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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.