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Finding the Fourth Proportional to 646.74, 969.39 and 415.71

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Solution

The fourth proportional to 646.74, 969.39 and 415.71 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 969.39 = 415.71 : x
  2. Step 2: Convert to fraction form
    646.74/969.39 = 415.71/x
  3. Step 3: Cross multiply
    646.74x = 969.39 × 415.71
  4. Step 4: Simplify right side
    646.74x = 402,985.12
  5. Step 5: Solve for x
    x = 402,985.12/646.74
  6. Step 6: Final answer
    x = 623.10

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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.