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Finding the Fourth Proportional to 846.36, 1,170.72 and 661.68

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Solution

The fourth proportional to 846.36, 1,170.72 and 661.68 is: 915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.36 : 1,170.72 = 661.68 : x
  2. Step 2: Convert to fraction form
    846.36/1,170.72 = 661.68/x
  3. Step 3: Cross multiply
    846.36x = 1,170.72 × 661.68
  4. Step 4: Simplify right side
    846.36x = 774,642.01
  5. Step 5: Solve for x
    x = 774,642.01/846.36
  6. Step 6: Final answer
    x = 915.26

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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.