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Finding the Fourth Proportional to 497.26, 747.65 and 455.32

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Solution

The fourth proportional to 497.26, 747.65 and 455.32 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 747.65 = 455.32 : x
  2. Step 2: Convert to fraction form
    497.26/747.65 = 455.32/x
  3. Step 3: Cross multiply
    497.26x = 747.65 × 455.32
  4. Step 4: Simplify right side
    497.26x = 340,420.00
  5. Step 5: Solve for x
    x = 340,420.00/497.26
  6. Step 6: Final answer
    x = 684.59

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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.