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Finding the Fourth Proportional to 979.34, 1,468.56 and 431.98

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Solution

The fourth proportional to 979.34, 1,468.56 and 431.98 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.34 : 1,468.56 = 431.98 : x
  2. Step 2: Convert to fraction form
    979.34/1,468.56 = 431.98/x
  3. Step 3: Cross multiply
    979.34x = 1,468.56 × 431.98
  4. Step 4: Simplify right side
    979.34x = 634,388.55
  5. Step 5: Solve for x
    x = 634,388.55/979.34
  6. Step 6: Final answer
    x = 647.77

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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.