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Finding the Fourth Proportional to 563.33, 840.93 and 486.79

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Solution

The fourth proportional to 563.33, 840.93 and 486.79 is: 726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.33 : 840.93 = 486.79 : x
  2. Step 2: Convert to fraction form
    563.33/840.93 = 486.79/x
  3. Step 3: Cross multiply
    563.33x = 840.93 × 486.79
  4. Step 4: Simplify right side
    563.33x = 409,352.39
  5. Step 5: Solve for x
    x = 409,352.39/563.33
  6. Step 6: Final answer
    x = 726.66

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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.