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Finding the Fourth Proportional to 897.37, 1,337.24 and 868.01

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Solution

The fourth proportional to 897.37, 1,337.24 and 868.01 is: 1,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.37 : 1,337.24 = 868.01 : x
  2. Step 2: Convert to fraction form
    897.37/1,337.24 = 868.01/x
  3. Step 3: Cross multiply
    897.37x = 1,337.24 × 868.01
  4. Step 4: Simplify right side
    897.37x = 1,160,726.67
  5. Step 5: Solve for x
    x = 1,160,726.67/897.37
  6. Step 6: Final answer
    x = 1,293.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.