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Finding the Fourth Proportional to 989.47, 1,365.96 and 675.19

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Solution

The fourth proportional to 989.47, 1,365.96 and 675.19 is: 932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.47 : 1,365.96 = 675.19 : x
  2. Step 2: Convert to fraction form
    989.47/1,365.96 = 675.19/x
  3. Step 3: Cross multiply
    989.47x = 1,365.96 × 675.19
  4. Step 4: Simplify right side
    989.47x = 922,282.53
  5. Step 5: Solve for x
    x = 922,282.53/989.47
  6. Step 6: Final answer
    x = 932.10

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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.