Home / 1,400.28-2,101.29-578.40

Finding the Fourth Proportional to 1,400.28, 2,101.29 and 578.40

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Solution

The fourth proportional to 1,400.28, 2,101.29 and 578.40 is: 867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.28 : 2,101.29 = 578.40 : x
  2. Step 2: Convert to fraction form
    1,400.28/2,101.29 = 578.40/x
  3. Step 3: Cross multiply
    1,400.28x = 2,101.29 × 578.40
  4. Step 4: Simplify right side
    1,400.28x = 1,215,386.14
  5. Step 5: Solve for x
    x = 1,215,386.14/1,400.28
  6. Step 6: Final answer
    x = 867.96

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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.