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Finding the Fourth Proportional to 1,326.80, 1,830.98 and 737.35

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Solution

The fourth proportional to 1,326.80, 1,830.98 and 737.35 is: 1,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.80 : 1,830.98 = 737.35 : x
  2. Step 2: Convert to fraction form
    1,326.80/1,830.98 = 737.35/x
  3. Step 3: Cross multiply
    1,326.80x = 1,830.98 × 737.35
  4. Step 4: Simplify right side
    1,326.80x = 1,350,060.26
  5. Step 5: Solve for x
    x = 1,350,060.26/1,326.80
  6. Step 6: Final answer
    x = 1,017.53

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1.5x scale

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.