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Finding the Fourth Proportional to 608.40, 910.08 and 469.80

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Solution

The fourth proportional to 608.40, 910.08 and 469.80 is: 702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 910.08 = 469.80 : x
  2. Step 2: Convert to fraction form
    608.40/910.08 = 469.80/x
  3. Step 3: Cross multiply
    608.40x = 910.08 × 469.80
  4. Step 4: Simplify right side
    608.40x = 427,555.58
  5. Step 5: Solve for x
    x = 427,555.58/608.40
  6. Step 6: Final answer
    x = 702.75

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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.