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Finding the Fourth Proportional to 2,390.13, 3,585.59 and 746.35

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Solution

The fourth proportional to 2,390.13, 3,585.59 and 746.35 is: 1,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.13 : 3,585.59 = 746.35 : x
  2. Step 2: Convert to fraction form
    2,390.13/3,585.59 = 746.35/x
  3. Step 3: Cross multiply
    2,390.13x = 3,585.59 × 746.35
  4. Step 4: Simplify right side
    2,390.13x = 2,676,089.03
  5. Step 5: Solve for x
    x = 2,676,089.03/2,390.13
  6. Step 6: Final answer
    x = 1,119.64

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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.