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Finding the Fourth Proportional to 897.11, 1,238.21 and 498.91

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Solution

The fourth proportional to 897.11, 1,238.21 and 498.91 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.11 : 1,238.21 = 498.91 : x
  2. Step 2: Convert to fraction form
    897.11/1,238.21 = 498.91/x
  3. Step 3: Cross multiply
    897.11x = 1,238.21 × 498.91
  4. Step 4: Simplify right side
    897.11x = 617,749.76
  5. Step 5: Solve for x
    x = 617,749.76/897.11
  6. Step 6: Final answer
    x = 688.60

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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.