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Finding the Fourth Proportional to 989.68, 1,365.60 and 596.72

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Solution

The fourth proportional to 989.68, 1,365.60 and 596.72 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.68 : 1,365.60 = 596.72 : x
  2. Step 2: Convert to fraction form
    989.68/1,365.60 = 596.72/x
  3. Step 3: Cross multiply
    989.68x = 1,365.60 × 596.72
  4. Step 4: Simplify right side
    989.68x = 814,880.83
  5. Step 5: Solve for x
    x = 814,880.83/989.68
  6. Step 6: Final answer
    x = 823.38

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1.5x scale

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.