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Finding the Fourth Proportional to 715.16, 1,074.53 and 455.27

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Solution

The fourth proportional to 715.16, 1,074.53 and 455.27 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,074.53 = 455.27 : x
  2. Step 2: Convert to fraction form
    715.16/1,074.53 = 455.27/x
  3. Step 3: Cross multiply
    715.16x = 1,074.53 × 455.27
  4. Step 4: Simplify right side
    715.16x = 489,205.10
  5. Step 5: Solve for x
    x = 489,205.10/715.16
  6. Step 6: Final answer
    x = 684.05

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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.