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Finding the Fourth Proportional to 1,475.51, 2,213.63 and 435.49

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Solution

The fourth proportional to 1,475.51, 2,213.63 and 435.49 is: 653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.51 : 2,213.63 = 435.49 : x
  2. Step 2: Convert to fraction form
    1,475.51/2,213.63 = 435.49/x
  3. Step 3: Cross multiply
    1,475.51x = 2,213.63 × 435.49
  4. Step 4: Simplify right side
    1,475.51x = 964,016.39
  5. Step 5: Solve for x
    x = 964,016.39/1,475.51
  6. Step 6: Final answer
    x = 653.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.