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Finding the Fourth Proportional to 2,407.05, 3,610.56 and 652.05

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Solution

The fourth proportional to 2,407.05, 3,610.56 and 652.05 is: 978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.05 : 3,610.56 = 652.05 : x
  2. Step 2: Convert to fraction form
    2,407.05/3,610.56 = 652.05/x
  3. Step 3: Cross multiply
    2,407.05x = 3,610.56 × 652.05
  4. Step 4: Simplify right side
    2,407.05x = 2,354,265.65
  5. Step 5: Solve for x
    x = 2,354,265.65/2,407.05
  6. Step 6: Final answer
    x = 978.07

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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.