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Finding the Fourth Proportional to 488.54, 726.52 and 473.16

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Solution

The fourth proportional to 488.54, 726.52 and 473.16 is: 703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 726.52 = 473.16 : x
  2. Step 2: Convert to fraction form
    488.54/726.52 = 473.16/x
  3. Step 3: Cross multiply
    488.54x = 726.52 × 473.16
  4. Step 4: Simplify right side
    488.54x = 343,756.57
  5. Step 5: Solve for x
    x = 343,756.57/488.54
  6. Step 6: Final answer
    x = 703.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.