Home / 1,403.31-2,106.50-582.16

Finding the Fourth Proportional to 1,403.31, 2,106.50 and 582.16

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Solution

The fourth proportional to 1,403.31, 2,106.50 and 582.16 is: 873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.31 : 2,106.50 = 582.16 : x
  2. Step 2: Convert to fraction form
    1,403.31/2,106.50 = 582.16/x
  3. Step 3: Cross multiply
    1,403.31x = 2,106.50 × 582.16
  4. Step 4: Simplify right side
    1,403.31x = 1,226,320.04
  5. Step 5: Solve for x
    x = 1,226,320.04/1,403.31
  6. Step 6: Final answer
    x = 873.88

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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.