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Finding the Fourth Proportional to 1,555.60, 2,333.40 and 898.60

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Solution

The fourth proportional to 1,555.60, 2,333.40 and 898.60 is: 1,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.60 : 2,333.40 = 898.60 : x
  2. Step 2: Convert to fraction form
    1,555.60/2,333.40 = 898.60/x
  3. Step 3: Cross multiply
    1,555.60x = 2,333.40 × 898.60
  4. Step 4: Simplify right side
    1,555.60x = 2,096,793.24
  5. Step 5: Solve for x
    x = 2,096,793.24/1,555.60
  6. Step 6: Final answer
    x = 1,347.90

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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.