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Finding the Fourth Proportional to 1,275.05, 1,912.71 and 430.45

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Solution

The fourth proportional to 1,275.05, 1,912.71 and 430.45 is: 645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.05 : 1,912.71 = 430.45 : x
  2. Step 2: Convert to fraction form
    1,275.05/1,912.71 = 430.45/x
  3. Step 3: Cross multiply
    1,275.05x = 1,912.71 × 430.45
  4. Step 4: Simplify right side
    1,275.05x = 823,326.02
  5. Step 5: Solve for x
    x = 823,326.02/1,275.05
  6. Step 6: Final answer
    x = 645.72

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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.