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Finding the Fourth Proportional to 898.72, 1,240 and 549.36

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Solution

The fourth proportional to 898.72, 1,240 and 549.36 is: 757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.72 : 1,240 = 549.36 : x
  2. Step 2: Convert to fraction form
    898.72/1,240 = 549.36/x
  3. Step 3: Cross multiply
    898.72x = 1,240 × 549.36
  4. Step 4: Simplify right side
    898.72x = 681,206.40
  5. Step 5: Solve for x
    x = 681,206.40/898.72
  6. Step 6: Final answer
    x = 757.97

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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.