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Finding the Fourth Proportional to 608.72, 914.88 and 417.68

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Solution

The fourth proportional to 608.72, 914.88 and 417.68 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.72 : 914.88 = 417.68 : x
  2. Step 2: Convert to fraction form
    608.72/914.88 = 417.68/x
  3. Step 3: Cross multiply
    608.72x = 914.88 × 417.68
  4. Step 4: Simplify right side
    608.72x = 382,127.08
  5. Step 5: Solve for x
    x = 382,127.08/608.72
  6. Step 6: Final answer
    x = 627.76

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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.