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Finding the Fourth Proportional to 646.76, 970.14 and 486.38

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Solution

The fourth proportional to 646.76, 970.14 and 486.38 is: 729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 970.14 = 486.38 : x
  2. Step 2: Convert to fraction form
    646.76/970.14 = 486.38/x
  3. Step 3: Cross multiply
    646.76x = 970.14 × 486.38
  4. Step 4: Simplify right side
    646.76x = 471,856.69
  5. Step 5: Solve for x
    x = 471,856.69/646.76
  6. Step 6: Final answer
    x = 729.57

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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.