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Finding the Fourth Proportional to 476.60, 656.25 and 358.75

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Solution

The fourth proportional to 476.60, 656.25 and 358.75 is: 493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 656.25 = 358.75 : x
  2. Step 2: Convert to fraction form
    476.60/656.25 = 358.75/x
  3. Step 3: Cross multiply
    476.60x = 656.25 × 358.75
  4. Step 4: Simplify right side
    476.60x = 235,429.69
  5. Step 5: Solve for x
    x = 235,429.69/476.60
  6. Step 6: Final answer
    x = 493.98

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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.