Home / 1,038.47-1,433.01-584.29

Finding the Fourth Proportional to 1,038.47, 1,433.01 and 584.29

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Solution

The fourth proportional to 1,038.47, 1,433.01 and 584.29 is: 806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.47 : 1,433.01 = 584.29 : x
  2. Step 2: Convert to fraction form
    1,038.47/1,433.01 = 584.29/x
  3. Step 3: Cross multiply
    1,038.47x = 1,433.01 × 584.29
  4. Step 4: Simplify right side
    1,038.47x = 837,289.83
  5. Step 5: Solve for x
    x = 837,289.83/1,038.47
  6. Step 6: Final answer
    x = 806.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.