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Finding the Fourth Proportional to 846.10, 1,165.60 and 804.41

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Solution

The fourth proportional to 846.10, 1,165.60 and 804.41 is: 1,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.10 : 1,165.60 = 804.41 : x
  2. Step 2: Convert to fraction form
    846.10/1,165.60 = 804.41/x
  3. Step 3: Cross multiply
    846.10x = 1,165.60 × 804.41
  4. Step 4: Simplify right side
    846.10x = 937,617.70
  5. Step 5: Solve for x
    x = 937,617.70/846.10
  6. Step 6: Final answer
    x = 1,108.17

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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.