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Finding the Fourth Proportional to 1,252.00, 1,878.10 and 430.27

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Solution

The fourth proportional to 1,252.00, 1,878.10 and 430.27 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.00 : 1,878.10 = 430.27 : x
  2. Step 2: Convert to fraction form
    1,252.00/1,878.10 = 430.27/x
  3. Step 3: Cross multiply
    1,252.00x = 1,878.10 × 430.27
  4. Step 4: Simplify right side
    1,252.00x = 808,091.36
  5. Step 5: Solve for x
    x = 808,091.36/1,252.00
  6. Step 6: Final answer
    x = 645.44

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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.