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Finding the Fourth Proportional to 1,337.41, 2,005.54 and 460.00

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Solution

The fourth proportional to 1,337.41, 2,005.54 and 460.00 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.41 : 2,005.54 = 460.00 : x
  2. Step 2: Convert to fraction form
    1,337.41/2,005.54 = 460.00/x
  3. Step 3: Cross multiply
    1,337.41x = 2,005.54 × 460.00
  4. Step 4: Simplify right side
    1,337.41x = 922,538.37
  5. Step 5: Solve for x
    x = 922,538.37/1,337.41
  6. Step 6: Final answer
    x = 689.80

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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.