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Finding the Fourth Proportional to 474.60, 653.49 and 356.75

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Solution

The fourth proportional to 474.60, 653.49 and 356.75 is: 491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 653.49 = 356.75 : x
  2. Step 2: Convert to fraction form
    474.60/653.49 = 356.75/x
  3. Step 3: Cross multiply
    474.60x = 653.49 × 356.75
  4. Step 4: Simplify right side
    474.60x = 233,129.29
  5. Step 5: Solve for x
    x = 233,129.29/474.60
  6. Step 6: Final answer
    x = 491.21

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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.