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Finding the Fourth Proportional to 478.71, 720.50 and 357.62

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Solution

The fourth proportional to 478.71, 720.50 and 357.62 is: 538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.71 : 720.50 = 357.62 : x
  2. Step 2: Convert to fraction form
    478.71/720.50 = 357.62/x
  3. Step 3: Cross multiply
    478.71x = 720.50 × 357.62
  4. Step 4: Simplify right side
    478.71x = 257,659.82
  5. Step 5: Solve for x
    x = 257,659.82/478.71
  6. Step 6: Final answer
    x = 538.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.