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Finding the Fourth Proportional to 1,089.99, 1,633.62 and 569.72

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Solution

The fourth proportional to 1,089.99, 1,633.62 and 569.72 is: 853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.99 : 1,633.62 = 569.72 : x
  2. Step 2: Convert to fraction form
    1,089.99/1,633.62 = 569.72/x
  3. Step 3: Cross multiply
    1,089.99x = 1,633.62 × 569.72
  4. Step 4: Simplify right side
    1,089.99x = 930,697.82
  5. Step 5: Solve for x
    x = 930,697.82/1,089.99
  6. Step 6: Final answer
    x = 853.86

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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.