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Finding the Fourth Proportional to 631.98, 953.67 and 609.10

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Solution

The fourth proportional to 631.98, 953.67 and 609.10 is: 919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 953.67 = 609.10 : x
  2. Step 2: Convert to fraction form
    631.98/953.67 = 609.10/x
  3. Step 3: Cross multiply
    631.98x = 953.67 × 609.10
  4. Step 4: Simplify right side
    631.98x = 580,880.40
  5. Step 5: Solve for x
    x = 580,880.40/631.98
  6. Step 6: Final answer
    x = 919.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.