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Finding the Fourth Proportional to 1,115.07, 1,671.12 and 420.93

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Solution

The fourth proportional to 1,115.07, 1,671.12 and 420.93 is: 630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.07 : 1,671.12 = 420.93 : x
  2. Step 2: Convert to fraction form
    1,115.07/1,671.12 = 420.93/x
  3. Step 3: Cross multiply
    1,115.07x = 1,671.12 × 420.93
  4. Step 4: Simplify right side
    1,115.07x = 703,424.54
  5. Step 5: Solve for x
    x = 703,424.54/1,115.07
  6. Step 6: Final answer
    x = 630.83

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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.