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Finding the Fourth Proportional to 988.57, 1,364.30 and 656.78

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Solution

The fourth proportional to 988.57, 1,364.30 and 656.78 is: 906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.57 : 1,364.30 = 656.78 : x
  2. Step 2: Convert to fraction form
    988.57/1,364.30 = 656.78/x
  3. Step 3: Cross multiply
    988.57x = 1,364.30 × 656.78
  4. Step 4: Simplify right side
    988.57x = 896,034.85
  5. Step 5: Solve for x
    x = 896,034.85/988.57
  6. Step 6: Final answer
    x = 906.39

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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.