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Finding the Fourth Proportional to 1,045.88, 1,568.81 and 429.92

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Solution

The fourth proportional to 1,045.88, 1,568.81 and 429.92 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.88 : 1,568.81 = 429.92 : x
  2. Step 2: Convert to fraction form
    1,045.88/1,568.81 = 429.92/x
  3. Step 3: Cross multiply
    1,045.88x = 1,568.81 × 429.92
  4. Step 4: Simplify right side
    1,045.88x = 674,456.03
  5. Step 5: Solve for x
    x = 674,456.03/1,045.88
  6. Step 6: Final answer
    x = 644.87

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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.