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Finding the Fourth Proportional to 945.45, 1,410.66 and 853.47

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Solution

The fourth proportional to 945.45, 1,410.66 and 853.47 is: 1,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.45 : 1,410.66 = 853.47 : x
  2. Step 2: Convert to fraction form
    945.45/1,410.66 = 853.47/x
  3. Step 3: Cross multiply
    945.45x = 1,410.66 × 853.47
  4. Step 4: Simplify right side
    945.45x = 1,203,955.99
  5. Step 5: Solve for x
    x = 1,203,955.99/945.45
  6. Step 6: Final answer
    x = 1,273.42

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1.5x scale

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.