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Finding the Fourth Proportional to 947.02, 1,298.53 and 853.39

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Solution

The fourth proportional to 947.02, 1,298.53 and 853.39 is: 1,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.02 : 1,298.53 = 853.39 : x
  2. Step 2: Convert to fraction form
    947.02/1,298.53 = 853.39/x
  3. Step 3: Cross multiply
    947.02x = 1,298.53 × 853.39
  4. Step 4: Simplify right side
    947.02x = 1,108,147.90
  5. Step 5: Solve for x
    x = 1,108,147.90/947.02
  6. Step 6: Final answer
    x = 1,170.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.