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Finding the Fourth Proportional to 1,240.24, 1,858.50 and 719.02

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Solution

The fourth proportional to 1,240.24, 1,858.50 and 719.02 is: 1,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.24 : 1,858.50 = 719.02 : x
  2. Step 2: Convert to fraction form
    1,240.24/1,858.50 = 719.02/x
  3. Step 3: Cross multiply
    1,240.24x = 1,858.50 × 719.02
  4. Step 4: Simplify right side
    1,240.24x = 1,336,298.67
  5. Step 5: Solve for x
    x = 1,336,298.67/1,240.24
  6. Step 6: Final answer
    x = 1,077.45

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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.