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Finding the Fourth Proportional to 715.72, 1,075.38 and 455.83

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Solution

The fourth proportional to 715.72, 1,075.38 and 455.83 is: 684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.72 : 1,075.38 = 455.83 : x
  2. Step 2: Convert to fraction form
    715.72/1,075.38 = 455.83/x
  3. Step 3: Cross multiply
    715.72x = 1,075.38 × 455.83
  4. Step 4: Simplify right side
    715.72x = 490,190.47
  5. Step 5: Solve for x
    x = 490,190.47/715.72
  6. Step 6: Final answer
    x = 684.89

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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.