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Finding the Fourth Proportional to 1,045.69, 1,568.73 and 430.09

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Solution

The fourth proportional to 1,045.69, 1,568.73 and 430.09 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.69 : 1,568.73 = 430.09 : x
  2. Step 2: Convert to fraction form
    1,045.69/1,568.73 = 430.09/x
  3. Step 3: Cross multiply
    1,045.69x = 1,568.73 × 430.09
  4. Step 4: Simplify right side
    1,045.69x = 674,695.09
  5. Step 5: Solve for x
    x = 674,695.09/1,045.69
  6. Step 6: Final answer
    x = 645.22

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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.