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Finding the Fourth Proportional to 410.98, 566.38 and 317.56

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Solution

The fourth proportional to 410.98, 566.38 and 317.56 is: 437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.98 : 566.38 = 317.56 : x
  2. Step 2: Convert to fraction form
    410.98/566.38 = 317.56/x
  3. Step 3: Cross multiply
    410.98x = 566.38 × 317.56
  4. Step 4: Simplify right side
    410.98x = 179,859.63
  5. Step 5: Solve for x
    x = 179,859.63/410.98
  6. Step 6: Final answer
    x = 437.64

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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.