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Finding the Fourth Proportional to 646.13, 965.50 and 438.98

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Solution

The fourth proportional to 646.13, 965.50 and 438.98 is: 655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.13 : 965.50 = 438.98 : x
  2. Step 2: Convert to fraction form
    646.13/965.50 = 438.98/x
  3. Step 3: Cross multiply
    646.13x = 965.50 × 438.98
  4. Step 4: Simplify right side
    646.13x = 423,829.27
  5. Step 5: Solve for x
    x = 423,829.27/646.13
  6. Step 6: Final answer
    x = 655.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.