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Finding the Fourth Proportional to 897.88, 1,235.70 and 759.81

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Solution

The fourth proportional to 897.88, 1,235.70 and 759.81 is: 1,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.88 : 1,235.70 = 759.81 : x
  2. Step 2: Convert to fraction form
    897.88/1,235.70 = 759.81/x
  3. Step 3: Cross multiply
    897.88x = 1,235.70 × 759.81
  4. Step 4: Simplify right side
    897.88x = 938,897.22
  5. Step 5: Solve for x
    x = 938,897.22/897.88
  6. Step 6: Final answer
    x = 1,045.68

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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.