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Finding the Fourth Proportional to 724.86, 1,088.55 and 482.94

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Solution

The fourth proportional to 724.86, 1,088.55 and 482.94 is: 725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.86 : 1,088.55 = 482.94 : x
  2. Step 2: Convert to fraction form
    724.86/1,088.55 = 482.94/x
  3. Step 3: Cross multiply
    724.86x = 1,088.55 × 482.94
  4. Step 4: Simplify right side
    724.86x = 525,704.34
  5. Step 5: Solve for x
    x = 525,704.34/724.86
  6. Step 6: Final answer
    x = 725.25

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1.5x scale

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.