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Finding the Fourth Proportional to 1,326.55, 1,830.65 and 729.05

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Solution

The fourth proportional to 1,326.55, 1,830.65 and 729.05 is: 1,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.55 : 1,830.65 = 729.05 : x
  2. Step 2: Convert to fraction form
    1,326.55/1,830.65 = 729.05/x
  3. Step 3: Cross multiply
    1,326.55x = 1,830.65 × 729.05
  4. Step 4: Simplify right side
    1,326.55x = 1,334,631.74
  5. Step 5: Solve for x
    x = 1,334,631.74/1,326.55
  6. Step 6: Final answer
    x = 1,006.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.