Home / 726.16-1,088.78-401.75

Finding the Fourth Proportional to 726.16, 1,088.78 and 401.75

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Solution

The fourth proportional to 726.16, 1,088.78 and 401.75 is: 602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.16 : 1,088.78 = 401.75 : x
  2. Step 2: Convert to fraction form
    726.16/1,088.78 = 401.75/x
  3. Step 3: Cross multiply
    726.16x = 1,088.78 × 401.75
  4. Step 4: Simplify right side
    726.16x = 437,417.37
  5. Step 5: Solve for x
    x = 437,417.37/726.16
  6. Step 6: Final answer
    x = 602.37

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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.