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Finding the Fourth Proportional to 559.20, 833.19 and 527.77

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Solution

The fourth proportional to 559.20, 833.19 and 527.77 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.20 : 833.19 = 527.77 : x
  2. Step 2: Convert to fraction form
    559.20/833.19 = 527.77/x
  3. Step 3: Cross multiply
    559.20x = 833.19 × 527.77
  4. Step 4: Simplify right side
    559.20x = 439,727.06
  5. Step 5: Solve for x
    x = 439,727.06/559.20
  6. Step 6: Final answer
    x = 786.34

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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.