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Finding the Fourth Proportional to 619.60, 930.48 and 598

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Solution

The fourth proportional to 619.60, 930.48 and 598 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.60 : 930.48 = 598 : x
  2. Step 2: Convert to fraction form
    619.60/930.48 = 598/x
  3. Step 3: Cross multiply
    619.60x = 930.48 × 598
  4. Step 4: Simplify right side
    619.60x = 556,427.04
  5. Step 5: Solve for x
    x = 556,427.04/619.60
  6. Step 6: Final answer
    x = 898.04

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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.