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Finding the Fourth Proportional to 1,703.55, 2,555.52 and 608.03

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Solution

The fourth proportional to 1,703.55, 2,555.52 and 608.03 is: 912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.55 : 2,555.52 = 608.03 : x
  2. Step 2: Convert to fraction form
    1,703.55/2,555.52 = 608.03/x
  3. Step 3: Cross multiply
    1,703.55x = 2,555.52 × 608.03
  4. Step 4: Simplify right side
    1,703.55x = 1,553,820.05
  5. Step 5: Solve for x
    x = 1,553,820.05/1,703.55
  6. Step 6: Final answer
    x = 912.11

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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.