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Finding the Fourth Proportional to 647.34, 970.31 and 318.51

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Solution

The fourth proportional to 647.34, 970.31 and 318.51 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.34 : 970.31 = 318.51 : x
  2. Step 2: Convert to fraction form
    647.34/970.31 = 318.51/x
  3. Step 3: Cross multiply
    647.34x = 970.31 × 318.51
  4. Step 4: Simplify right side
    647.34x = 309,053.44
  5. Step 5: Solve for x
    x = 309,053.44/647.34
  6. Step 6: Final answer
    x = 477.42

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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.