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Finding the Fourth Proportional to 836.88, 1,154.70 and 505.32

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Solution

The fourth proportional to 836.88, 1,154.70 and 505.32 is: 697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.88 : 1,154.70 = 505.32 : x
  2. Step 2: Convert to fraction form
    836.88/1,154.70 = 505.32/x
  3. Step 3: Cross multiply
    836.88x = 1,154.70 × 505.32
  4. Step 4: Simplify right side
    836.88x = 583,493.00
  5. Step 5: Solve for x
    x = 583,493.00/836.88
  6. Step 6: Final answer
    x = 697.22

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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.