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Finding the Fourth Proportional to 1,113.86, 1,671.79 and 594.30

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Solution

The fourth proportional to 1,113.86, 1,671.79 and 594.30 is: 891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.86 : 1,671.79 = 594.30 : x
  2. Step 2: Convert to fraction form
    1,113.86/1,671.79 = 594.30/x
  3. Step 3: Cross multiply
    1,113.86x = 1,671.79 × 594.30
  4. Step 4: Simplify right side
    1,113.86x = 993,536.44
  5. Step 5: Solve for x
    x = 993,536.44/1,113.86
  6. Step 6: Final answer
    x = 891.98

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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.