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Finding the Fourth Proportional to 897.30, 1,238.34 and 498.98

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Solution

The fourth proportional to 897.30, 1,238.34 and 498.98 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.30 : 1,238.34 = 498.98 : x
  2. Step 2: Convert to fraction form
    897.30/1,238.34 = 498.98/x
  3. Step 3: Cross multiply
    897.30x = 1,238.34 × 498.98
  4. Step 4: Simplify right side
    897.30x = 617,911.86
  5. Step 5: Solve for x
    x = 617,911.86/897.30
  6. Step 6: Final answer
    x = 688.63

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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.