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Finding the Fourth Proportional to 610.58, 916.16 and 446.20

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Solution

The fourth proportional to 610.58, 916.16 and 446.20 is: 669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 916.16 = 446.20 : x
  2. Step 2: Convert to fraction form
    610.58/916.16 = 446.20/x
  3. Step 3: Cross multiply
    610.58x = 916.16 × 446.20
  4. Step 4: Simplify right side
    610.58x = 408,786.07
  5. Step 5: Solve for x
    x = 408,786.07/610.58
  6. Step 6: Final answer
    x = 669.50

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1.5x scale

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.