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Finding the Fourth Proportional to 846.94, 1,169.10 and 552.28

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Solution

The fourth proportional to 846.94, 1,169.10 and 552.28 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.94 : 1,169.10 = 552.28 : x
  2. Step 2: Convert to fraction form
    846.94/1,169.10 = 552.28/x
  3. Step 3: Cross multiply
    846.94x = 1,169.10 × 552.28
  4. Step 4: Simplify right side
    846.94x = 645,670.55
  5. Step 5: Solve for x
    x = 645,670.55/846.94
  6. Step 6: Final answer
    x = 762.36

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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.