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Finding the Fourth Proportional to 988, 1,478.64 and 953.44

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Solution

The fourth proportional to 988, 1,478.64 and 953.44 is: 1,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    988 : 1,478.64 = 953.44 : x
  2. Step 2: Convert to fraction form
    988/1,478.64 = 953.44/x
  3. Step 3: Cross multiply
    988x = 1,478.64 × 953.44
  4. Step 4: Simplify right side
    988x = 1,409,794.52
  5. Step 5: Solve for x
    x = 1,409,794.52/988
  6. Step 6: Final answer
    x = 1,426.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.