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Finding the Fourth Proportional to 1,046.45, 1,569.86 and 430.49

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Solution

The fourth proportional to 1,046.45, 1,569.86 and 430.49 is: 645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.45 : 1,569.86 = 430.49 : x
  2. Step 2: Convert to fraction form
    1,046.45/1,569.86 = 430.49/x
  3. Step 3: Cross multiply
    1,046.45x = 1,569.86 × 430.49
  4. Step 4: Simplify right side
    1,046.45x = 675,809.03
  5. Step 5: Solve for x
    x = 675,809.03/1,046.45
  6. Step 6: Final answer
    x = 645.81

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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.