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Finding the Fourth Proportional to 897.58, 1,235.45 and 635.14

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Solution

The fourth proportional to 897.58, 1,235.45 and 635.14 is: 874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.58 : 1,235.45 = 635.14 : x
  2. Step 2: Convert to fraction form
    897.58/1,235.45 = 635.14/x
  3. Step 3: Cross multiply
    897.58x = 1,235.45 × 635.14
  4. Step 4: Simplify right side
    897.58x = 784,686.85
  5. Step 5: Solve for x
    x = 784,686.85/897.58
  6. Step 6: Final answer
    x = 874.22

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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.