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Finding the Fourth Proportional to 897.80, 1,241.60 and 787.05

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Solution

The fourth proportional to 897.80, 1,241.60 and 787.05 is: 1,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,241.60 = 787.05 : x
  2. Step 2: Convert to fraction form
    897.80/1,241.60 = 787.05/x
  3. Step 3: Cross multiply
    897.80x = 1,241.60 × 787.05
  4. Step 4: Simplify right side
    897.80x = 977,197.34
  5. Step 5: Solve for x
    x = 977,197.34/897.80
  6. Step 6: Final answer
    x = 1,088.44

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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.