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Finding the Fourth Proportional to 1,732.10, 2,598.15 and 577.85

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Solution

The fourth proportional to 1,732.10, 2,598.15 and 577.85 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.10 : 2,598.15 = 577.85 : x
  2. Step 2: Convert to fraction form
    1,732.10/2,598.15 = 577.85/x
  3. Step 3: Cross multiply
    1,732.10x = 2,598.15 × 577.85
  4. Step 4: Simplify right side
    1,732.10x = 1,501,340.98
  5. Step 5: Solve for x
    x = 1,501,340.98/1,732.10
  6. Step 6: Final answer
    x = 866.78

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1.5x scale

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.