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Finding the Fourth Proportional to 497.48, 743.49 and 458.56

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Solution

The fourth proportional to 497.48, 743.49 and 458.56 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 743.49 = 458.56 : x
  2. Step 2: Convert to fraction form
    497.48/743.49 = 458.56/x
  3. Step 3: Cross multiply
    497.48x = 743.49 × 458.56
  4. Step 4: Simplify right side
    497.48x = 340,934.77
  5. Step 5: Solve for x
    x = 340,934.77/497.48
  6. Step 6: Final answer
    x = 685.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.