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Finding the Fourth Proportional to 409.60, 565.71 and 317.46

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Solution

The fourth proportional to 409.60, 565.71 and 317.46 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.71 = 317.46 : x
  2. Step 2: Convert to fraction form
    409.60/565.71 = 317.46/x
  3. Step 3: Cross multiply
    409.60x = 565.71 × 317.46
  4. Step 4: Simplify right side
    409.60x = 179,590.30
  5. Step 5: Solve for x
    x = 179,590.30/409.60
  6. Step 6: Final answer
    x = 438.45

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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.