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Finding the Fourth Proportional to 620.64, 855.60 and 465.12

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Solution

The fourth proportional to 620.64, 855.60 and 465.12 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.64 : 855.60 = 465.12 : x
  2. Step 2: Convert to fraction form
    620.64/855.60 = 465.12/x
  3. Step 3: Cross multiply
    620.64x = 855.60 × 465.12
  4. Step 4: Simplify right side
    620.64x = 397,956.67
  5. Step 5: Solve for x
    x = 397,956.67/620.64
  6. Step 6: Final answer
    x = 641.20

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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.