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Finding the Fourth Proportional to 1,045.17, 1,568.03 and 428.67

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Solution

The fourth proportional to 1,045.17, 1,568.03 and 428.67 is: 643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.17 : 1,568.03 = 428.67 : x
  2. Step 2: Convert to fraction form
    1,045.17/1,568.03 = 428.67/x
  3. Step 3: Cross multiply
    1,045.17x = 1,568.03 × 428.67
  4. Step 4: Simplify right side
    1,045.17x = 672,165.28
  5. Step 5: Solve for x
    x = 672,165.28/1,045.17
  6. Step 6: Final answer
    x = 643.12

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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.