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Finding the Fourth Proportional to 726.16, 1,003.24 and 561.04

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Solution

The fourth proportional to 726.16, 1,003.24 and 561.04 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.16 : 1,003.24 = 561.04 : x
  2. Step 2: Convert to fraction form
    726.16/1,003.24 = 561.04/x
  3. Step 3: Cross multiply
    726.16x = 1,003.24 × 561.04
  4. Step 4: Simplify right side
    726.16x = 562,857.77
  5. Step 5: Solve for x
    x = 562,857.77/726.16
  6. Step 6: Final answer
    x = 775.12

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