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Finding the Fourth Proportional to 634.98, 953.16 and 562.31

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Solution

The fourth proportional to 634.98, 953.16 and 562.31 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.98 : 953.16 = 562.31 : x
  2. Step 2: Convert to fraction form
    634.98/953.16 = 562.31/x
  3. Step 3: Cross multiply
    634.98x = 953.16 × 562.31
  4. Step 4: Simplify right side
    634.98x = 535,968.10
  5. Step 5: Solve for x
    x = 535,968.10/634.98
  6. Step 6: Final answer
    x = 844.07

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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.