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Finding the Fourth Proportional to 898.05, 1,239.30 and 505.07

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Solution

The fourth proportional to 898.05, 1,239.30 and 505.07 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.05 : 1,239.30 = 505.07 : x
  2. Step 2: Convert to fraction form
    898.05/1,239.30 = 505.07/x
  3. Step 3: Cross multiply
    898.05x = 1,239.30 × 505.07
  4. Step 4: Simplify right side
    898.05x = 625,932.13
  5. Step 5: Solve for x
    x = 625,932.13/898.05
  6. Step 6: Final answer
    x = 696.99

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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.