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Finding the Fourth Proportional to 686.07, 946.08 and 449.55

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Solution

The fourth proportional to 686.07, 946.08 and 449.55 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 946.08 = 449.55 : x
  2. Step 2: Convert to fraction form
    686.07/946.08 = 449.55/x
  3. Step 3: Cross multiply
    686.07x = 946.08 × 449.55
  4. Step 4: Simplify right side
    686.07x = 425,310.26
  5. Step 5: Solve for x
    x = 425,310.26/686.07
  6. Step 6: Final answer
    x = 619.92

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1.5x scale

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.