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Finding the Fourth Proportional to 478.42, 716.24 and 355.57

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Solution

The fourth proportional to 478.42, 716.24 and 355.57 is: 532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 716.24 = 355.57 : x
  2. Step 2: Convert to fraction form
    478.42/716.24 = 355.57/x
  3. Step 3: Cross multiply
    478.42x = 716.24 × 355.57
  4. Step 4: Simplify right side
    478.42x = 254,673.68
  5. Step 5: Solve for x
    x = 254,673.68/478.42
  6. Step 6: Final answer
    x = 532.32

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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.