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Finding the Fourth Proportional to 647.09, 970.68 and 372.70

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Solution

The fourth proportional to 647.09, 970.68 and 372.70 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.09 : 970.68 = 372.70 : x
  2. Step 2: Convert to fraction form
    647.09/970.68 = 372.70/x
  3. Step 3: Cross multiply
    647.09x = 970.68 × 372.70
  4. Step 4: Simplify right side
    647.09x = 361,775.05
  5. Step 5: Solve for x
    x = 361,775.05/647.09
  6. Step 6: Final answer
    x = 559.08

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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.