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Finding the Fourth Proportional to 610.64, 916.08 and 446.64

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Solution

The fourth proportional to 610.64, 916.08 and 446.64 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.64 : 916.08 = 446.64 : x
  2. Step 2: Convert to fraction form
    610.64/916.08 = 446.64/x
  3. Step 3: Cross multiply
    610.64x = 916.08 × 446.64
  4. Step 4: Simplify right side
    610.64x = 409,157.97
  5. Step 5: Solve for x
    x = 409,157.97/610.64
  6. Step 6: Final answer
    x = 670.05

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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.