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Finding the Fourth Proportional to 646.40, 968.24 and 536.45

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Solution

The fourth proportional to 646.40, 968.24 and 536.45 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 968.24 = 536.45 : x
  2. Step 2: Convert to fraction form
    646.40/968.24 = 536.45/x
  3. Step 3: Cross multiply
    646.40x = 968.24 × 536.45
  4. Step 4: Simplify right side
    646.40x = 519,404.82
  5. Step 5: Solve for x
    x = 519,404.82/646.40
  6. Step 6: Final answer
    x = 803.54

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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.