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Finding the Fourth Proportional to 898.56, 1,240.14 and 505.68

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Solution

The fourth proportional to 898.56, 1,240.14 and 505.68 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,240.14 = 505.68 : x
  2. Step 2: Convert to fraction form
    898.56/1,240.14 = 505.68/x
  3. Step 3: Cross multiply
    898.56x = 1,240.14 × 505.68
  4. Step 4: Simplify right side
    898.56x = 627,114.00
  5. Step 5: Solve for x
    x = 627,114.00/898.56
  6. Step 6: Final answer
    x = 697.91

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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.