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Finding the Fourth Proportional to 1,326.58, 1,830.74 and 737.17

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Solution

The fourth proportional to 1,326.58, 1,830.74 and 737.17 is: 1,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.58 : 1,830.74 = 737.17 : x
  2. Step 2: Convert to fraction form
    1,326.58/1,830.74 = 737.17/x
  3. Step 3: Cross multiply
    1,326.58x = 1,830.74 × 737.17
  4. Step 4: Simplify right side
    1,326.58x = 1,349,558.34
  5. Step 5: Solve for x
    x = 1,349,558.34/1,326.58
  6. Step 6: Final answer
    x = 1,017.32

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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.