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Finding the Fourth Proportional to 2,904.04, 4,356.04 and 712.72

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Solution

The fourth proportional to 2,904.04, 4,356.04 and 712.72 is: 1,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.04 : 4,356.04 = 712.72 : x
  2. Step 2: Convert to fraction form
    2,904.04/4,356.04 = 712.72/x
  3. Step 3: Cross multiply
    2,904.04x = 4,356.04 × 712.72
  4. Step 4: Simplify right side
    2,904.04x = 3,104,636.83
  5. Step 5: Solve for x
    x = 3,104,636.83/2,904.04
  6. Step 6: Final answer
    x = 1,069.08

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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.