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Finding the Fourth Proportional to 646.95, 970.29 and 317.74

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Solution

The fourth proportional to 646.95, 970.29 and 317.74 is: 476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.95 : 970.29 = 317.74 : x
  2. Step 2: Convert to fraction form
    646.95/970.29 = 317.74/x
  3. Step 3: Cross multiply
    646.95x = 970.29 × 317.74
  4. Step 4: Simplify right side
    646.95x = 308,299.94
  5. Step 5: Solve for x
    x = 308,299.94/646.95
  6. Step 6: Final answer
    x = 476.54

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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.