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Finding the Fourth Proportional to 497.04, 746.34 and 457.50

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Solution

The fourth proportional to 497.04, 746.34 and 457.50 is: 686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 746.34 = 457.50 : x
  2. Step 2: Convert to fraction form
    497.04/746.34 = 457.50/x
  3. Step 3: Cross multiply
    497.04x = 746.34 × 457.50
  4. Step 4: Simplify right side
    497.04x = 341,450.55
  5. Step 5: Solve for x
    x = 341,450.55/497.04
  6. Step 6: Final answer
    x = 686.97

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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.