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Finding the Fourth Proportional to 2,976.65, 4,465.20 and 785.32

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Solution

The fourth proportional to 2,976.65, 4,465.20 and 785.32 is: 1,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.65 : 4,465.20 = 785.32 : x
  2. Step 2: Convert to fraction form
    2,976.65/4,465.20 = 785.32/x
  3. Step 3: Cross multiply
    2,976.65x = 4,465.20 × 785.32
  4. Step 4: Simplify right side
    2,976.65x = 3,506,613.00
  5. Step 5: Solve for x
    x = 3,506,613.00/2,976.65
  6. Step 6: Final answer
    x = 1,178.04

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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.