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Finding the Fourth Proportional to 497.02, 746.10 and 291.74

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Solution

The fourth proportional to 497.02, 746.10 and 291.74 is: 437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 746.10 = 291.74 : x
  2. Step 2: Convert to fraction form
    497.02/746.10 = 291.74/x
  3. Step 3: Cross multiply
    497.02x = 746.10 × 291.74
  4. Step 4: Simplify right side
    497.02x = 217,663.48
  5. Step 5: Solve for x
    x = 217,663.48/497.02
  6. Step 6: Final answer
    x = 437.94

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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.