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Finding the Fourth Proportional to 646.76, 970.36 and 577.85

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Solution

The fourth proportional to 646.76, 970.36 and 577.85 is: 866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 970.36 = 577.85 : x
  2. Step 2: Convert to fraction form
    646.76/970.36 = 577.85/x
  3. Step 3: Cross multiply
    646.76x = 970.36 × 577.85
  4. Step 4: Simplify right side
    646.76x = 560,714.78
  5. Step 5: Solve for x
    x = 560,714.78/646.76
  6. Step 6: Final answer
    x = 866.96

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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.