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Finding the Fourth Proportional to 646.12, 970.62 and 502.12

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Solution

The fourth proportional to 646.12, 970.62 and 502.12 is: 754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 970.62 = 502.12 : x
  2. Step 2: Convert to fraction form
    646.12/970.62 = 502.12/x
  3. Step 3: Cross multiply
    646.12x = 970.62 × 502.12
  4. Step 4: Simplify right side
    646.12x = 487,367.71
  5. Step 5: Solve for x
    x = 487,367.71/646.12
  6. Step 6: Final answer
    x = 754.30

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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.