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Finding the Fourth Proportional to 897.94, 1,239.20 and 499.60

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Solution

The fourth proportional to 897.94, 1,239.20 and 499.60 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.94 : 1,239.20 = 499.60 : x
  2. Step 2: Convert to fraction form
    897.94/1,239.20 = 499.60/x
  3. Step 3: Cross multiply
    897.94x = 1,239.20 × 499.60
  4. Step 4: Simplify right side
    897.94x = 619,104.32
  5. Step 5: Solve for x
    x = 619,104.32/897.94
  6. Step 6: Final answer
    x = 689.47

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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.