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Finding the Fourth Proportional to 1,257, 1,884.89 and 434.99

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Solution

The fourth proportional to 1,257, 1,884.89 and 434.99 is: 652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257 : 1,884.89 = 434.99 : x
  2. Step 2: Convert to fraction form
    1,257/1,884.89 = 434.99/x
  3. Step 3: Cross multiply
    1,257x = 1,884.89 × 434.99
  4. Step 4: Simplify right side
    1,257x = 819,896.70
  5. Step 5: Solve for x
    x = 819,896.70/1,257
  6. Step 6: Final answer
    x = 652.26

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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.