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Finding the Fourth Proportional to 1,041.15, 1,562.16 and 455.85

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Solution

The fourth proportional to 1,041.15, 1,562.16 and 455.85 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.15 : 1,562.16 = 455.85 : x
  2. Step 2: Convert to fraction form
    1,041.15/1,562.16 = 455.85/x
  3. Step 3: Cross multiply
    1,041.15x = 1,562.16 × 455.85
  4. Step 4: Simplify right side
    1,041.15x = 712,109.78
  5. Step 5: Solve for x
    x = 712,109.78/1,041.15
  6. Step 6: Final answer
    x = 683.96

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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.