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Finding the Fourth Proportional to 726.71, 1,088.35 and 553.17

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Solution

The fourth proportional to 726.71, 1,088.35 and 553.17 is: 828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.71 : 1,088.35 = 553.17 : x
  2. Step 2: Convert to fraction form
    726.71/1,088.35 = 553.17/x
  3. Step 3: Cross multiply
    726.71x = 1,088.35 × 553.17
  4. Step 4: Simplify right side
    726.71x = 602,041.19
  5. Step 5: Solve for x
    x = 602,041.19/726.71
  6. Step 6: Final answer
    x = 828.44

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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.