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Finding the Fourth Proportional to 800.10, 1,193.50 and 787.35

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Solution

The fourth proportional to 800.10, 1,193.50 and 787.35 is: 1,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.10 : 1,193.50 = 787.35 : x
  2. Step 2: Convert to fraction form
    800.10/1,193.50 = 787.35/x
  3. Step 3: Cross multiply
    800.10x = 1,193.50 × 787.35
  4. Step 4: Simplify right side
    800.10x = 939,702.23
  5. Step 5: Solve for x
    x = 939,702.23/800.10
  6. Step 6: Final answer
    x = 1,174.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.