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Finding the Fourth Proportional to 646.65, 970.15 and 415.66

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Solution

The fourth proportional to 646.65, 970.15 and 415.66 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 970.15 = 415.66 : x
  2. Step 2: Convert to fraction form
    646.65/970.15 = 415.66/x
  3. Step 3: Cross multiply
    646.65x = 970.15 × 415.66
  4. Step 4: Simplify right side
    646.65x = 403,249.08
  5. Step 5: Solve for x
    x = 403,249.08/646.65
  6. Step 6: Final answer
    x = 623.59

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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.