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Finding the Fourth Proportional to 3,055.79, 4,582.99 and 864.69

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Solution

The fourth proportional to 3,055.79, 4,582.99 and 864.69 is: 1,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.79 : 4,582.99 = 864.69 : x
  2. Step 2: Convert to fraction form
    3,055.79/4,582.99 = 864.69/x
  3. Step 3: Cross multiply
    3,055.79x = 4,582.99 × 864.69
  4. Step 4: Simplify right side
    3,055.79x = 3,962,863.46
  5. Step 5: Solve for x
    x = 3,962,863.46/3,055.79
  6. Step 6: Final answer
    x = 1,296.84

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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.