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Finding the Fourth Proportional to 2,564.79, 3,847.18 and 616.99

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Solution

The fourth proportional to 2,564.79, 3,847.18 and 616.99 is: 925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.79 : 3,847.18 = 616.99 : x
  2. Step 2: Convert to fraction form
    2,564.79/3,847.18 = 616.99/x
  3. Step 3: Cross multiply
    2,564.79x = 3,847.18 × 616.99
  4. Step 4: Simplify right side
    2,564.79x = 2,373,682.22
  5. Step 5: Solve for x
    x = 2,373,682.22/2,564.79
  6. Step 6: Final answer
    x = 925.49

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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.