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Finding the Fourth Proportional to 988.84, 1,483.26 and 258.40

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Solution

The fourth proportional to 988.84, 1,483.26 and 258.40 is: 387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.84 : 1,483.26 = 258.40 : x
  2. Step 2: Convert to fraction form
    988.84/1,483.26 = 258.40/x
  3. Step 3: Cross multiply
    988.84x = 1,483.26 × 258.40
  4. Step 4: Simplify right side
    988.84x = 383,274.38
  5. Step 5: Solve for x
    x = 383,274.38/988.84
  6. Step 6: Final answer
    x = 387.60

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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.