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Finding the Fourth Proportional to 1,252.19, 1,877.87 and 430.44

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Solution

The fourth proportional to 1,252.19, 1,877.87 and 430.44 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.19 : 1,877.87 = 430.44 : x
  2. Step 2: Convert to fraction form
    1,252.19/1,877.87 = 430.44/x
  3. Step 3: Cross multiply
    1,252.19x = 1,877.87 × 430.44
  4. Step 4: Simplify right side
    1,252.19x = 808,308.21
  5. Step 5: Solve for x
    x = 808,308.21/1,252.19
  6. Step 6: Final answer
    x = 645.52

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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.