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Finding the Fourth Proportional to 1,045.28, 1,568.57 and 428.99

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Solution

The fourth proportional to 1,045.28, 1,568.57 and 428.99 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.28 : 1,568.57 = 428.99 : x
  2. Step 2: Convert to fraction form
    1,045.28/1,568.57 = 428.99/x
  3. Step 3: Cross multiply
    1,045.28x = 1,568.57 × 428.99
  4. Step 4: Simplify right side
    1,045.28x = 672,890.86
  5. Step 5: Solve for x
    x = 672,890.86/1,045.28
  6. Step 6: Final answer
    x = 643.75

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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.