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Finding the Fourth Proportional to 716.66, 989.05 and 436.83

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Solution

The fourth proportional to 716.66, 989.05 and 436.83 is: 602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.66 : 989.05 = 436.83 : x
  2. Step 2: Convert to fraction form
    716.66/989.05 = 436.83/x
  3. Step 3: Cross multiply
    716.66x = 989.05 × 436.83
  4. Step 4: Simplify right side
    716.66x = 432,041.77
  5. Step 5: Solve for x
    x = 432,041.77/716.66
  6. Step 6: Final answer
    x = 602.86

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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.