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Finding the Fourth Proportional to 618.90, 853.70 and 471.48

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Solution

The fourth proportional to 618.90, 853.70 and 471.48 is: 650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.90 : 853.70 = 471.48 : x
  2. Step 2: Convert to fraction form
    618.90/853.70 = 471.48/x
  3. Step 3: Cross multiply
    618.90x = 853.70 × 471.48
  4. Step 4: Simplify right side
    618.90x = 402,502.48
  5. Step 5: Solve for x
    x = 402,502.48/618.90
  6. Step 6: Final answer
    x = 650.35

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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.