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Finding the Fourth Proportional to 726.12, 1,089.68 and 315.64

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Solution

The fourth proportional to 726.12, 1,089.68 and 315.64 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.12 : 1,089.68 = 315.64 : x
  2. Step 2: Convert to fraction form
    726.12/1,089.68 = 315.64/x
  3. Step 3: Cross multiply
    726.12x = 1,089.68 × 315.64
  4. Step 4: Simplify right side
    726.12x = 343,946.60
  5. Step 5: Solve for x
    x = 343,946.60/726.12
  6. Step 6: Final answer
    x = 473.68

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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.