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Finding the Fourth Proportional to 1,332.08, 1,998.35 and 407.61

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Solution

The fourth proportional to 1,332.08, 1,998.35 and 407.61 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.08 : 1,998.35 = 407.61 : x
  2. Step 2: Convert to fraction form
    1,332.08/1,998.35 = 407.61/x
  3. Step 3: Cross multiply
    1,332.08x = 1,998.35 × 407.61
  4. Step 4: Simplify right side
    1,332.08x = 814,547.44
  5. Step 5: Solve for x
    x = 814,547.44/1,332.08
  6. Step 6: Final answer
    x = 611.49

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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.