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Finding the Fourth Proportional to 1,251.74, 1,875.54 and 429.56

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Solution

The fourth proportional to 1,251.74, 1,875.54 and 429.56 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.74 : 1,875.54 = 429.56 : x
  2. Step 2: Convert to fraction form
    1,251.74/1,875.54 = 429.56/x
  3. Step 3: Cross multiply
    1,251.74x = 1,875.54 × 429.56
  4. Step 4: Simplify right side
    1,251.74x = 805,656.23
  5. Step 5: Solve for x
    x = 805,656.23/1,251.74
  6. Step 6: Final answer
    x = 643.63

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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.