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Finding the Fourth Proportional to 1,598.45, 2,397.68 and 558.44

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Solution

The fourth proportional to 1,598.45, 2,397.68 and 558.44 is: 837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.45 : 2,397.68 = 558.44 : x
  2. Step 2: Convert to fraction form
    1,598.45/2,397.68 = 558.44/x
  3. Step 3: Cross multiply
    1,598.45x = 2,397.68 × 558.44
  4. Step 4: Simplify right side
    1,598.45x = 1,338,963.62
  5. Step 5: Solve for x
    x = 1,338,963.62/1,598.45
  6. Step 6: Final answer
    x = 837.67

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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.