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Finding the Fourth Proportional to 1,434.66, 2,151.98 and 408.66

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Solution

The fourth proportional to 1,434.66, 2,151.98 and 408.66 is: 612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.66 : 2,151.98 = 408.66 : x
  2. Step 2: Convert to fraction form
    1,434.66/2,151.98 = 408.66/x
  3. Step 3: Cross multiply
    1,434.66x = 2,151.98 × 408.66
  4. Step 4: Simplify right side
    1,434.66x = 879,421.86
  5. Step 5: Solve for x
    x = 879,421.86/1,434.66
  6. Step 6: Final answer
    x = 612.98

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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.