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Finding the Fourth Proportional to 1,115.86, 1,674.05 and 595.59

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Solution

The fourth proportional to 1,115.86, 1,674.05 and 595.59 is: 893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.86 : 1,674.05 = 595.59 : x
  2. Step 2: Convert to fraction form
    1,115.86/1,674.05 = 595.59/x
  3. Step 3: Cross multiply
    1,115.86x = 1,674.05 × 595.59
  4. Step 4: Simplify right side
    1,115.86x = 997,047.44
  5. Step 5: Solve for x
    x = 997,047.44/1,115.86
  6. Step 6: Final answer
    x = 893.52

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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.