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Finding the Fourth Proportional to 1,292.01, 1,938.20 and 598.88

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Solution

The fourth proportional to 1,292.01, 1,938.20 and 598.88 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.01 : 1,938.20 = 598.88 : x
  2. Step 2: Convert to fraction form
    1,292.01/1,938.20 = 598.88/x
  3. Step 3: Cross multiply
    1,292.01x = 1,938.20 × 598.88
  4. Step 4: Simplify right side
    1,292.01x = 1,160,736.53
  5. Step 5: Solve for x
    x = 1,160,736.53/1,292.01
  6. Step 6: Final answer
    x = 898.40

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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.