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Finding the Fourth Proportional to 478.90, 718.35 and 364.78

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Solution

The fourth proportional to 478.90, 718.35 and 364.78 is: 547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.90 : 718.35 = 364.78 : x
  2. Step 2: Convert to fraction form
    478.90/718.35 = 364.78/x
  3. Step 3: Cross multiply
    478.90x = 718.35 × 364.78
  4. Step 4: Simplify right side
    478.90x = 262,039.71
  5. Step 5: Solve for x
    x = 262,039.71/478.90
  6. Step 6: Final answer
    x = 547.17

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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.