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Finding the Fourth Proportional to 898.62, 1,349.40 and 607.98

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Solution

The fourth proportional to 898.62, 1,349.40 and 607.98 is: 912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.62 : 1,349.40 = 607.98 : x
  2. Step 2: Convert to fraction form
    898.62/1,349.40 = 607.98/x
  3. Step 3: Cross multiply
    898.62x = 1,349.40 × 607.98
  4. Step 4: Simplify right side
    898.62x = 820,408.21
  5. Step 5: Solve for x
    x = 820,408.21/898.62
  6. Step 6: Final answer
    x = 912.96

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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.