Home / 1,046.82-1,569.96-430.69

Finding the Fourth Proportional to 1,046.82, 1,569.96 and 430.69

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Solution

The fourth proportional to 1,046.82, 1,569.96 and 430.69 is: 645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.82 : 1,569.96 = 430.69 : x
  2. Step 2: Convert to fraction form
    1,046.82/1,569.96 = 430.69/x
  3. Step 3: Cross multiply
    1,046.82x = 1,569.96 × 430.69
  4. Step 4: Simplify right side
    1,046.82x = 676,166.07
  5. Step 5: Solve for x
    x = 676,166.07/1,046.82
  6. Step 6: Final answer
    x = 645.92

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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.