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Finding the Fourth Proportional to 898.87, 1,240.28 and 505.81

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Solution

The fourth proportional to 898.87, 1,240.28 and 505.81 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.87 : 1,240.28 = 505.81 : x
  2. Step 2: Convert to fraction form
    898.87/1,240.28 = 505.81/x
  3. Step 3: Cross multiply
    898.87x = 1,240.28 × 505.81
  4. Step 4: Simplify right side
    898.87x = 627,343.50
  5. Step 5: Solve for x
    x = 627,343.50/898.87
  6. Step 6: Final answer
    x = 697.92

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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.