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Finding the Fourth Proportional to 1,240.41, 1,858.95 and 509.59

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Solution

The fourth proportional to 1,240.41, 1,858.95 and 509.59 is: 763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.41 : 1,858.95 = 509.59 : x
  2. Step 2: Convert to fraction form
    1,240.41/1,858.95 = 509.59/x
  3. Step 3: Cross multiply
    1,240.41x = 1,858.95 × 509.59
  4. Step 4: Simplify right side
    1,240.41x = 947,304.65
  5. Step 5: Solve for x
    x = 947,304.65/1,240.41
  6. Step 6: Final answer
    x = 763.70

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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.