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Finding the Fourth Proportional to 647.09, 970.88 and 645.06

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Solution

The fourth proportional to 647.09, 970.88 and 645.06 is: 967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.09 : 970.88 = 645.06 : x
  2. Step 2: Convert to fraction form
    647.09/970.88 = 645.06/x
  3. Step 3: Cross multiply
    647.09x = 970.88 × 645.06
  4. Step 4: Simplify right side
    647.09x = 626,272.63
  5. Step 5: Solve for x
    x = 626,272.63/647.09
  6. Step 6: Final answer
    x = 967.84

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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.