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Finding the Fourth Proportional to 846.14, 1,167.32 and 610.16

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Solution

The fourth proportional to 846.14, 1,167.32 and 610.16 is: 841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,167.32 = 610.16 : x
  2. Step 2: Convert to fraction form
    846.14/1,167.32 = 610.16/x
  3. Step 3: Cross multiply
    846.14x = 1,167.32 × 610.16
  4. Step 4: Simplify right side
    846.14x = 712,243.08
  5. Step 5: Solve for x
    x = 712,243.08/846.14
  6. Step 6: Final answer
    x = 841.76

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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.