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Finding the Fourth Proportional to 478.28, 718.70 and 259.04

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Solution

The fourth proportional to 478.28, 718.70 and 259.04 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 718.70 = 259.04 : x
  2. Step 2: Convert to fraction form
    478.28/718.70 = 259.04/x
  3. Step 3: Cross multiply
    478.28x = 718.70 × 259.04
  4. Step 4: Simplify right side
    478.28x = 186,173.84
  5. Step 5: Solve for x
    x = 186,173.84/478.28
  6. Step 6: Final answer
    x = 389.26

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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.