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Finding the Fourth Proportional to 497.70, 747.40 and 415.36

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Solution

The fourth proportional to 497.70, 747.40 and 415.36 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 747.40 = 415.36 : x
  2. Step 2: Convert to fraction form
    497.70/747.40 = 415.36/x
  3. Step 3: Cross multiply
    497.70x = 747.40 × 415.36
  4. Step 4: Simplify right side
    497.70x = 310,440.06
  5. Step 5: Solve for x
    x = 310,440.06/497.70
  6. Step 6: Final answer
    x = 623.75

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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.