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Finding the Fourth Proportional to 989.04, 1,364.93 and 656.90

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Solution

The fourth proportional to 989.04, 1,364.93 and 656.90 is: 906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.04 : 1,364.93 = 656.90 : x
  2. Step 2: Convert to fraction form
    989.04/1,364.93 = 656.90/x
  3. Step 3: Cross multiply
    989.04x = 1,364.93 × 656.90
  4. Step 4: Simplify right side
    989.04x = 896,622.52
  5. Step 5: Solve for x
    x = 896,622.52/989.04
  6. Step 6: Final answer
    x = 906.56

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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.