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Finding the Fourth Proportional to 646.92, 893.48 and 501.32

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Solution

The fourth proportional to 646.92, 893.48 and 501.32 is: 692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 893.48 = 501.32 : x
  2. Step 2: Convert to fraction form
    646.92/893.48 = 501.32/x
  3. Step 3: Cross multiply
    646.92x = 893.48 × 501.32
  4. Step 4: Simplify right side
    646.92x = 447,919.39
  5. Step 5: Solve for x
    x = 447,919.39/646.92
  6. Step 6: Final answer
    x = 692.39

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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.