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Finding the Fourth Proportional to 897.18, 1,347.81 and 774.16

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Solution

The fourth proportional to 897.18, 1,347.81 and 774.16 is: 1,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.18 : 1,347.81 = 774.16 : x
  2. Step 2: Convert to fraction form
    897.18/1,347.81 = 774.16/x
  3. Step 3: Cross multiply
    897.18x = 1,347.81 × 774.16
  4. Step 4: Simplify right side
    897.18x = 1,043,414.32
  5. Step 5: Solve for x
    x = 1,043,414.32/897.18
  6. Step 6: Final answer
    x = 1,163.00

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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.