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Finding the Fourth Proportional to 1,200.01, 1,799.73 and 430.51

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Solution

The fourth proportional to 1,200.01, 1,799.73 and 430.51 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.01 : 1,799.73 = 430.51 : x
  2. Step 2: Convert to fraction form
    1,200.01/1,799.73 = 430.51/x
  3. Step 3: Cross multiply
    1,200.01x = 1,799.73 × 430.51
  4. Step 4: Simplify right side
    1,200.01x = 774,801.76
  5. Step 5: Solve for x
    x = 774,801.76/1,200.01
  6. Step 6: Final answer
    x = 645.66

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1.5x scale

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.