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Finding the Fourth Proportional to 646.92, 965.64 and 556.20

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Solution

The fourth proportional to 646.92, 965.64 and 556.20 is: 830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 965.64 = 556.20 : x
  2. Step 2: Convert to fraction form
    646.92/965.64 = 556.20/x
  3. Step 3: Cross multiply
    646.92x = 965.64 × 556.20
  4. Step 4: Simplify right side
    646.92x = 537,088.97
  5. Step 5: Solve for x
    x = 537,088.97/646.92
  6. Step 6: Final answer
    x = 830.22

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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.