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Finding the Fourth Proportional to 647.76, 971.26 and 442.58

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Solution

The fourth proportional to 647.76, 971.26 and 442.58 is: 663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.76 : 971.26 = 442.58 : x
  2. Step 2: Convert to fraction form
    647.76/971.26 = 442.58/x
  3. Step 3: Cross multiply
    647.76x = 971.26 × 442.58
  4. Step 4: Simplify right side
    647.76x = 429,855.39
  5. Step 5: Solve for x
    x = 429,855.39/647.76
  6. Step 6: Final answer
    x = 663.61

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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.