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Finding the Fourth Proportional to 645.35, 970.17 and 524.46

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Solution

The fourth proportional to 645.35, 970.17 and 524.46 is: 788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.35 : 970.17 = 524.46 : x
  2. Step 2: Convert to fraction form
    645.35/970.17 = 524.46/x
  3. Step 3: Cross multiply
    645.35x = 970.17 × 524.46
  4. Step 4: Simplify right side
    645.35x = 508,815.36
  5. Step 5: Solve for x
    x = 508,815.36/645.35
  6. Step 6: Final answer
    x = 788.43

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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.