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Finding the Fourth Proportional to 2,390.48, 3,585.08 and 659.20

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Solution

The fourth proportional to 2,390.48, 3,585.08 and 659.20 is: 988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.48 : 3,585.08 = 659.20 : x
  2. Step 2: Convert to fraction form
    2,390.48/3,585.08 = 659.20/x
  3. Step 3: Cross multiply
    2,390.48x = 3,585.08 × 659.20
  4. Step 4: Simplify right side
    2,390.48x = 2,363,284.74
  5. Step 5: Solve for x
    x = 2,363,284.74/2,390.48
  6. Step 6: Final answer
    x = 988.62

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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.