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Finding the Fourth Proportional to 616.64, 852.05 and 484.20

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Solution

The fourth proportional to 616.64, 852.05 and 484.20 is: 669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 852.05 = 484.20 : x
  2. Step 2: Convert to fraction form
    616.64/852.05 = 484.20/x
  3. Step 3: Cross multiply
    616.64x = 852.05 × 484.20
  4. Step 4: Simplify right side
    616.64x = 412,563.82
  5. Step 5: Solve for x
    x = 412,563.82/616.64
  6. Step 6: Final answer
    x = 669.06

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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.