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Finding the Fourth Proportional to 646, 890.88 and 498.40

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Solution

The fourth proportional to 646, 890.88 and 498.40 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646 : 890.88 = 498.40 : x
  2. Step 2: Convert to fraction form
    646/890.88 = 498.40/x
  3. Step 3: Cross multiply
    646x = 890.88 × 498.40
  4. Step 4: Simplify right side
    646x = 444,014.59
  5. Step 5: Solve for x
    x = 444,014.59/646
  6. Step 6: Final answer
    x = 687.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.