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Finding the Fourth Proportional to 410.83, 566.13 and 405.72

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Solution

The fourth proportional to 410.83, 566.13 and 405.72 is: 559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 566.13 = 405.72 : x
  2. Step 2: Convert to fraction form
    410.83/566.13 = 405.72/x
  3. Step 3: Cross multiply
    410.83x = 566.13 × 405.72
  4. Step 4: Simplify right side
    410.83x = 229,690.26
  5. Step 5: Solve for x
    x = 229,690.26/410.83
  6. Step 6: Final answer
    x = 559.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.