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Finding the Fourth Proportional to 634.42, 874.72 and 510.09

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Solution

The fourth proportional to 634.42, 874.72 and 510.09 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 874.72 = 510.09 : x
  2. Step 2: Convert to fraction form
    634.42/874.72 = 510.09/x
  3. Step 3: Cross multiply
    634.42x = 874.72 × 510.09
  4. Step 4: Simplify right side
    634.42x = 446,180.41
  5. Step 5: Solve for x
    x = 446,180.41/634.42
  6. Step 6: Final answer
    x = 703.29

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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.