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Finding the Fourth Proportional to 648.02, 970.82 and 575.12

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Solution

The fourth proportional to 648.02, 970.82 and 575.12 is: 861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 970.82 = 575.12 : x
  2. Step 2: Convert to fraction form
    648.02/970.82 = 575.12/x
  3. Step 3: Cross multiply
    648.02x = 970.82 × 575.12
  4. Step 4: Simplify right side
    648.02x = 558,339.71
  5. Step 5: Solve for x
    x = 558,339.71/648.02
  6. Step 6: Final answer
    x = 861.61

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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.