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Finding the Fourth Proportional to 497.07, 686.48 and 410.67

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Solution

The fourth proportional to 497.07, 686.48 and 410.67 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 686.48 = 410.67 : x
  2. Step 2: Convert to fraction form
    497.07/686.48 = 410.67/x
  3. Step 3: Cross multiply
    497.07x = 686.48 × 410.67
  4. Step 4: Simplify right side
    497.07x = 281,914.69
  5. Step 5: Solve for x
    x = 281,914.69/497.07
  6. Step 6: Final answer
    x = 567.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.