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Finding the Fourth Proportional to 901.98, 1,354.77 and 771.93

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Solution

The fourth proportional to 901.98, 1,354.77 and 771.93 is: 1,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.98 : 1,354.77 = 771.93 : x
  2. Step 2: Convert to fraction form
    901.98/1,354.77 = 771.93/x
  3. Step 3: Cross multiply
    901.98x = 1,354.77 × 771.93
  4. Step 4: Simplify right side
    901.98x = 1,045,787.61
  5. Step 5: Solve for x
    x = 1,045,787.61/901.98
  6. Step 6: Final answer
    x = 1,159.44

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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.