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Finding the Fourth Proportional to 1,151.41, 1,726.69 and 420.77

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Solution

The fourth proportional to 1,151.41, 1,726.69 and 420.77 is: 631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.41 : 1,726.69 = 420.77 : x
  2. Step 2: Convert to fraction form
    1,151.41/1,726.69 = 420.77/x
  3. Step 3: Cross multiply
    1,151.41x = 1,726.69 × 420.77
  4. Step 4: Simplify right side
    1,151.41x = 726,539.35
  5. Step 5: Solve for x
    x = 726,539.35/1,151.41
  6. Step 6: Final answer
    x = 631.00

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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.