Home / 1,047.14-1,569.48-430.54

Finding the Fourth Proportional to 1,047.14, 1,569.48 and 430.54

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Solution

The fourth proportional to 1,047.14, 1,569.48 and 430.54 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,569.48 = 430.54 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,569.48 = 430.54/x
  3. Step 3: Cross multiply
    1,047.14x = 1,569.48 × 430.54
  4. Step 4: Simplify right side
    1,047.14x = 675,723.92
  5. Step 5: Solve for x
    x = 675,723.92/1,047.14
  6. Step 6: Final answer
    x = 645.30

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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.