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Finding the Fourth Proportional to 956.16, 1,426.82 and 846.81

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Solution

The fourth proportional to 956.16, 1,426.82 and 846.81 is: 1,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.16 : 1,426.82 = 846.81 : x
  2. Step 2: Convert to fraction form
    956.16/1,426.82 = 846.81/x
  3. Step 3: Cross multiply
    956.16x = 1,426.82 × 846.81
  4. Step 4: Simplify right side
    956.16x = 1,208,241.21
  5. Step 5: Solve for x
    x = 1,208,241.21/956.16
  6. Step 6: Final answer
    x = 1,263.64

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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.