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Finding the Fourth Proportional to 897.49, 1,237.26 and 698.59

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Solution

The fourth proportional to 897.49, 1,237.26 and 698.59 is: 963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.49 : 1,237.26 = 698.59 : x
  2. Step 2: Convert to fraction form
    897.49/1,237.26 = 698.59/x
  3. Step 3: Cross multiply
    897.49x = 1,237.26 × 698.59
  4. Step 4: Simplify right side
    897.49x = 864,337.46
  5. Step 5: Solve for x
    x = 864,337.46/897.49
  6. Step 6: Final answer
    x = 963.06

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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.