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Finding the Fourth Proportional to 1,435.55, 2,153.46 and 569.75

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Solution

The fourth proportional to 1,435.55, 2,153.46 and 569.75 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.55 : 2,153.46 = 569.75 : x
  2. Step 2: Convert to fraction form
    1,435.55/2,153.46 = 569.75/x
  3. Step 3: Cross multiply
    1,435.55x = 2,153.46 × 569.75
  4. Step 4: Simplify right side
    1,435.55x = 1,226,933.84
  5. Step 5: Solve for x
    x = 1,226,933.84/1,435.55
  6. Step 6: Final answer
    x = 854.68

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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.