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Finding the Fourth Proportional to 897.92, 1,239.18 and 499.64

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Solution

The fourth proportional to 897.92, 1,239.18 and 499.64 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.92 : 1,239.18 = 499.64 : x
  2. Step 2: Convert to fraction form
    897.92/1,239.18 = 499.64/x
  3. Step 3: Cross multiply
    897.92x = 1,239.18 × 499.64
  4. Step 4: Simplify right side
    897.92x = 619,143.90
  5. Step 5: Solve for x
    x = 619,143.90/897.92
  6. Step 6: Final answer
    x = 689.53

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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.