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Finding the Fourth Proportional to 726.04, 999.75 and 656.58

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Solution

The fourth proportional to 726.04, 999.75 and 656.58 is: 904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.04 : 999.75 = 656.58 : x
  2. Step 2: Convert to fraction form
    726.04/999.75 = 656.58/x
  3. Step 3: Cross multiply
    726.04x = 999.75 × 656.58
  4. Step 4: Simplify right side
    726.04x = 656,415.86
  5. Step 5: Solve for x
    x = 656,415.86/726.04
  6. Step 6: Final answer
    x = 904.10

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Why These Related Problems?

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