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Finding the Fourth Proportional to 448.76, 622.16 and 424.16

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Solution

The fourth proportional to 448.76, 622.16 and 424.16 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.76 : 622.16 = 424.16 : x
  2. Step 2: Convert to fraction form
    448.76/622.16 = 424.16/x
  3. Step 3: Cross multiply
    448.76x = 622.16 × 424.16
  4. Step 4: Simplify right side
    448.76x = 263,895.39
  5. Step 5: Solve for x
    x = 263,895.39/448.76
  6. Step 6: Final answer
    x = 588.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.