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Finding the Fourth Proportional to 988.52, 1,364.88 and 657.62

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Solution

The fourth proportional to 988.52, 1,364.88 and 657.62 is: 908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,364.88 = 657.62 : x
  2. Step 2: Convert to fraction form
    988.52/1,364.88 = 657.62/x
  3. Step 3: Cross multiply
    988.52x = 1,364.88 × 657.62
  4. Step 4: Simplify right side
    988.52x = 897,572.39
  5. Step 5: Solve for x
    x = 897,572.39/988.52
  6. Step 6: Final answer
    x = 908.00

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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.