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Finding the Fourth Proportional to 556.14, 833.81 and 480

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Solution

The fourth proportional to 556.14, 833.81 and 480 is: 719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.14 : 833.81 = 480 : x
  2. Step 2: Convert to fraction form
    556.14/833.81 = 480/x
  3. Step 3: Cross multiply
    556.14x = 833.81 × 480
  4. Step 4: Simplify right side
    556.14x = 400,226.40
  5. Step 5: Solve for x
    x = 400,226.40/556.14
  6. Step 6: Final answer
    x = 719.65

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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.