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Finding the Fourth Proportional to 897.58, 1,238.63 and 499.24

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Solution

The fourth proportional to 897.58, 1,238.63 and 499.24 is: 688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.58 : 1,238.63 = 499.24 : x
  2. Step 2: Convert to fraction form
    897.58/1,238.63 = 499.24/x
  3. Step 3: Cross multiply
    897.58x = 1,238.63 × 499.24
  4. Step 4: Simplify right side
    897.58x = 618,371.33
  5. Step 5: Solve for x
    x = 618,371.33/897.58
  6. Step 6: Final answer
    x = 688.93

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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.