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Finding the Fourth Proportional to 897.68, 1,347.02 and 349.88

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Solution

The fourth proportional to 897.68, 1,347.02 and 349.88 is: 525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.68 : 1,347.02 = 349.88 : x
  2. Step 2: Convert to fraction form
    897.68/1,347.02 = 349.88/x
  3. Step 3: Cross multiply
    897.68x = 1,347.02 × 349.88
  4. Step 4: Simplify right side
    897.68x = 471,286.87
  5. Step 5: Solve for x
    x = 471,286.87/897.68
  6. Step 6: Final answer
    x = 525.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.