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Finding the Fourth Proportional to 867.07, 1,297.80 and 455.62

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Solution

The fourth proportional to 867.07, 1,297.80 and 455.62 is: 681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.07 : 1,297.80 = 455.62 : x
  2. Step 2: Convert to fraction form
    867.07/1,297.80 = 455.62/x
  3. Step 3: Cross multiply
    867.07x = 1,297.80 × 455.62
  4. Step 4: Simplify right side
    867.07x = 591,303.64
  5. Step 5: Solve for x
    x = 591,303.64/867.07
  6. Step 6: Final answer
    x = 681.96

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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.