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Finding the Fourth Proportional to 714.95, 989.32 and 609.87

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Solution

The fourth proportional to 714.95, 989.32 and 609.87 is: 843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.95 : 989.32 = 609.87 : x
  2. Step 2: Convert to fraction form
    714.95/989.32 = 609.87/x
  3. Step 3: Cross multiply
    714.95x = 989.32 × 609.87
  4. Step 4: Simplify right side
    714.95x = 603,356.59
  5. Step 5: Solve for x
    x = 603,356.59/714.95
  6. Step 6: Final answer
    x = 843.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.